Which Pair of Numbers Has an Lcm of 16?

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There are many possible pairs of numbers that have an lcm of 16. Some of these pairs include: (1, 16), (2, 8), (4, 4), and (8, 2). Each of these numbers has a different lowest common multiple, but they all have 16 in common.

The lowest common multiple is the smallest number that is divisible by both numbers in a pair. In order to find the lowest common multiple of two numbers, you can use the greatest common divisor. The greatest common divisor is the largest number that divides evenly into both numbers.

To find the greatest common divisor of two numbers, you can use the Euclidean algorithm. This algorithm is used by finding the remainder of the two numbers when they are divided. The Euclidean algorithm is as follows:

Divide the larger number by the smaller number. Take the remainder and divide it by the smaller number. Repeat this process until the remainder is 0.

The greatest common divisor is the last number that was divided evenly into the other number.

Once the greatest common divisor is found, the lowest commonmultiple can be found by using the following formula:

LCM(x, y) = (x * y) / GCD(x, y)

Using this formula, the lowest common multiple of the numbers 1 and 16 is 16. The lowest common multiple of the numbers 2 and 8 is also 16. The lowest common multiple of the numbers 4 and 4 is 16. Finally, the lowest common multiple of the numbers 8 and 2 is also 16.

In conclusion, there are many different pairs of numbers that have an lcm of 16. Some of these pairs include: (1, 16), (2, 8), (4, 4), and (8, 2).

If this caught your attention, see: 4 16

What is the LCM of 16?

The least common multiple (LCM) of 16 is the smallest number that is a multiple of both 16 and 1. The LCM of 16 is 16.

The LCM of a set of numbers is the smallest number that is a multiple of all the numbers in the set. In other words, it is the smallest number that they all have in common.

To find the LCM of 16, we first need to list the factors of 16. The factors of 16 are 1, 2, 4, 8, 16.

Next, we need to list the factors of 1. The only factor of 1 is 1.

Now, we need to find the smallest number that is a multiple of both 16 and 1. The smallest number that is a multiple of 16 is 16. The smallest number that is a multiple of 1 is 1. Therefore, the LCM of 16 is 16.

What is the LCM of 8 and 16?

The lowest common multiple (LCM) of two whole numbers is the smallest whole number that is a multiple of both of the numbers. The LCM of 8 and 16 is the smallest whole number that is a multiple of both 8 and 16.

The LCM of 8 and 16 can be found by listing the first few multiples of each number and then seeing where they overlap:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240

The LCM of 8 and 16 is 32.

What is the LCM of 4 and 16?

The least common multiple (LCM) of 4 and 16 is 16.

The LCM is the smallest positive integer that is a multiple of both 4 and 16. In other words, the LCM is the smallest positive integer that is divisible by both 4 and 16.

The LCM of 4 and 16 can be found using the prime factorization method. First, we need to find the prime factorizations of 4 and 16.

4 = 2 x 2 16 = 2 x 2 x 2 x 2

Then, we need to find the LCM of the two numbers by multiplying the highest power of each prime number.

LCM(4, 16) = 2 x 2 x 2 x 2 = 16

Thus, the LCM of 4 and 16 is 16.

What is the LCM of 2 and 16?

The lowest common multiple (LCM) of 2 and 16 is 32.

We can find the LCM by listing the multiples of 2 and 16 and finding the smallest number that appears in both lists:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32

Multiples of 16: 16, 32

Since 32 appears in both lists, we can conclude that the LCM of 2 and 16 is 32.

To find the LCM of two numbers, we can also use the greatest common divisor (GCD) method. First, we need to find the GCD of 2 and 16. We can do this by listing the factors of 2 and 16 and finding the largest number that appears in both lists:

Factors of 2: 1, 2 Factors of 16: 1, 2, 4, 8, 16

Since the only number that appears in both lists is 1, the GCD of 2 and 16 is 1.

Now that we have the GCD, we can use the following formula to find the LCM:

LCM(2,16) = (2 x 16) / 1

Plugging in our values, we get:

LCM(2,16) = (2 x 16) / 1 = 32

So, the LCM of 2 and 16 is 32.

What is the LCM of 1 and 16?

The LCM of 1 and 16 is 16.

16 is the smallest positive integer that is a multiple of both 1 and 16. In other words, 16 is the lowest common multiple of 1 and 16.

The LCM of 1 and 16 can be found using the least common multiple algorithm, which is as follows:

1. Find the smallest number that is a multiple of both 1 and 16.

2. Divide that number by the smaller number of 1 and 16.

3. If the remainder is not zero, continue dividing until the remainder is zero.

4. The LCM of 1 and 16 is the smallest number that is a multiple of both 1 and 16.

The LCM of 1 and 16 can also be found using the greatest common divisor (GCD) algorithm, which is as follows:

1. Find the largest number that is a divisor of both 1 and 16.

2. Multiply that number by the smaller number of 1 and 16.

3. The LCM of 1 and 16 is the product of the greatest common divisor and the smaller number.

The LCM of 1 and 16 can be found using either the least common multiple algorithm or the greatest common divisor algorithm. However, the LCM of 1 and 16 is most easily found by using the least common multiple algorithm.

What is the LCM of 16 and 32?

The LCM of 16 and 32 is 32.

The least common multiple (LCM) of two integers is the smallest positive integer that is a multiple of both integers. In other words, the LCM is the smallest positive integer that is a multiple of both 16 and 32.

The LCM of 16 and 32 can be found using the greatest common divisor (GCD) method, which is a way to find the LCM of two integers using only their GCD. The GCD of 16 and 32 is 8. Therefore, the LCM of 16 and 32 must be a multiple of 8. The smallest multiple of 8 that is also a multiple of 16 and 32 is 32. Therefore, the LCM of 16 and 32 is 32.

What is the LCM of 16 and 48?

The lowest common multiple (LCM) of 16 and 48 is 48.

To find the LCM of 16 and 48, we need to first determine their greatest common factor (GCF). The GCF of 16 and 48 is 16. Thus, the LCM of 16 and 48 is 48.

The LCM is the smallest positive integer that is a multiple of both 16 and 48. In other words, the LCM is the smallest positive integer that is a multiple of both 16 and 48.

The LCM of 16 and 48 is 48.

For another approach, see: What Is the Gcf of 16 and 24?

What is the LCM of 16 and 64?

The LCM of 16 and 64 is 256.

The LCM (lowest common multiple) of two numbers is the smallest number that is a multiple of both numbers. In other words, it is the smallest number that can be evenly divided by both numbers.

To find the LCM of 16 and 64, we first need to list the multiples of each number:

Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088, 1152, 1216, 1280, 1344, 1408, 1472, 1536, 1600, 1664, 1728, 1792, 1856, 1920, 1984

As we can see, the LCM of 16 and 64 is 256.

What is the LCM of 16 and 80?

There are a few different ways to find the LCM of 16 and 80. One way to find the LCM is to list the multiples of each number until a common multiple is found. The multiples of 16 are 16, 32, 48, 64, 80, and 96. The multiples of 80 are 80, 160, 240, 320, 400, 480, and 560. The LCM of 16 and 80 is 160.

Another way to find the LCM is to use the greatest common factor (GCF). The GCF of 16 and 80 can be found by listing the factors of each number and finding the greatest number that is common to both lists. The factors of 16 are 1, 2, 4, 8, and 16. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. The greatest number that is common to both lists is 16. The LCM of 16 and 80 is therefore 16 * 5, or 80.

There is also a formula that can be used to find the LCM of two numbers. The LCM of two numbers is equal to the product of the two numbers divided by the GCF of the two numbers. Using this formula, the LCM of 16 and 80 can be found by multiplying 16 * 80 and then dividing by the GCF of 16 and 80, which is 16. This gives a result of 160.

So, the LCM of 16 and 80 is 160.

Intriguing read: Number 2 Work

Frequently Asked Questions

What is the LCM of two or more numbers?

The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.

What is the product of 16x and 16Y whose LCM is 240?

The product of 16x and 16Y whose LCM is 240 is 80.

What is the least common multiple of two numbers?

The least common multiple, or LCM, of two numbers is the smallest positive integer that is evenly divisible by both numbers. For example, the LCM of 2 and 3 is 6. The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.

How do you find the LCM of a table?

The LCM of a table is the product of the numbers in the Lshape, left column and bottom row. 1 is ignored. Starting with the lowest prime numbers, divide the row of numbers by a prime number that is evenly divisible into at least one of your numbers and bring down the result into the next table row. For example, if you are dividing 3 by 2, you would take the third number (3), divide it by the second number (2) to get 0.5 (removing 1 from both sides to yield 1.5), and then place this number in the fourth row of the LCM Table below: Similarly, if you are dividing 9 by 8 you would take the ninth number (9), divide it by the eighth number (8) to get 0.625 (removing 1 from both sides to yield 8.75). This value would be placed in cell D4 of the LCM Table below:

How to find the least common multiple (lcm) of two numbers?

One of the quickest ways to find the LCM of two numbers is to use the prime factorization of each number and then the product of the highest powers of the common prime factors will be the LCM of those numbers. 1. What is Least Common Multiple (LCM)? The Least Common Multiple (LCM) for a set of two numbers is the smallest number that evenly divides both numbers. For example, 24 is an LCM for 24, 25, and 30 because it evenly divides them all three times. 56 is also an LCM for 56, 58, and 60 because it evenly divides them all four times.

Sources

  1. https://www.storyofmathematics.com/which-pair-of-numbers-has-an-LCM-of-16/
  2. https://brainly.com/question/18084619
  3. https://plainmath.net/62977/which-pair-of-numbers-has-the-lcm-of
  4. https://radyomx.com/fr/topics/14101-which-pair-of-numbers-has-an-lcm-of-16
  5. https://brainly.com/question/24370405
  6. https://www.quora.com/How-many-pairs-of-numbers-exist-such-that-their-LCM-is-240-and-HCF-is-16
  7. https://math.answers.com/other-math/Which_pair_of_numbers_has_an_LCM_of_24
  8. https://brainly.in/question/12634730
  9. https://calculationcalculator.com/lcm-of-20-and-16
  10. https://durrell2012.com/what-is-the-lcm-8-16-and-24/
  11. https://calculationcalculator.com/lcm-of-8-and-16
  12. https://byjus.com/maths/lcm-of-8-and-16/
  13. https://answers.everydaycalculation.com/lcm/8-16
  14. https://calculationcalculator.com/lcm-of-4-and-16
  15. https://answers.everydaycalculation.com/lcm/4-16
  16. https://calculationcalculator.com/lcm-of-16-and-4
  17. https://onlinecalculator.guru/lcmgcf/lcm-of-4-16/
  18. https://getcalc.com/math-lcm-4-16and32.htm
  19. https://answers.everydaycalculation.com/lcm/2-16
  20. https://www.mathwarehouse.com/answered-questions/lcm/what-is-the-least-common-multiple-of-2-and-16.php
  21. https://visualfractions.com/calculator/least-common-multiple/lcm-of-16-and-2/
  22. https://calculationcalculator.com/lcm-of-1-and-16
  23. https://calculationcalculator.com/lcm-of-1521-and-16
  24. https://byjus.com/maths/lcm-of-2-and-14/
  25. https://answers.everydaycalculation.com/lcm/1-16
  26. https://calculationcalculator.com/lcm-of-16-and-1
  27. https://www.gcflcm.com/lcm-of-16-and-1
  28. https://lcmgcf.com/lcm-of-1-1-6/
  29. https://answers.everydaycalculation.com/lcm/16-32
  30. https://calculationcalculator.com/lcm-of-32-and-16
  31. https://mathbig.com/all-lcm-of-pages/lcm-of-16-and-32
  32. https://getcalc.com/math-lcm-12-16and32.htm
  33. https://calculationcalculator.com/lcm-of-16-and-48
  34. https://answers.everydaycalculation.com/lcm/16-48
  35. https://calculationcalculator.com/lcm-of-48-and-16
  36. https://mathbig.com/all-lcm-of-pages/lcm-of-16-and-48
  37. https://mathbig.com/all-lcm-of-pages/lcm-of-48-and-16
  38. https://answers.everydaycalculation.com/lcm/16-64
  39. https://calculationcalculator.com/lcm-of-16-and-64
  40. https://mathbig.com/all-lcm-of-pages/lcm-of-16-and-64
  41. https://www.gcflcm.com/lcm-of-64-and-16
  42. https://coolconversion.com/math/lcm/What-is-the-least-common-multiple-of-_16%2C64_%3F
  43. https://answers.everydaycalculation.com/lcm/16-80
  44. https://getcalc.com/math-lcm-16and80.htm
  45. https://calculationcalculator.com/gcf-of-16-and-80
  46. https://byjus.com/maths/lcm-of-80-and-84/

Lee Cosi

Lead Writer

Lee Cosi is an experienced article author and content writer. He has been writing for various outlets for over 5 years, with a focus on lifestyle topics such as health, fitness, travel, and finance. His work has been featured in publications such as Men's Health Magazine, Forbes Magazine, and The Huffington Post.

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