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 10 and 8 is 40. The first few multiples of 40 are 40, 80, 120, 160, 200, 240, 280, 320, 360, 400. The Least Common Multiple is also known as the Lowest Common Denominator (LCD).
What is the lcm for 10 and 11?
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 evenly divisible by both numbers.
To find the LCM of 10 and 11, we can list the multiples of each number and look for the smallest number that appears in both lists:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110
As we can see, the LCM of 10 and 11 is 110.
Discover more: What Is the Lcm of 11 and 5?
What is the lcm for 10 and 12?
The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.
The LCM of 10 and 12 is 60.
To find the LCM of 10 and 12, we first need to list the multiples of 10 and 12.
The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, ...
The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
The LCM of 10 and 12 is the smallest number that is a multiple of both 10 and 12, and that number is 60.
To find the LCM of two numbers usingprime factorization, we need to find the prime factorization of each number.
The prime factorization of 10 is:
10 = 2 × 5
The prime factorization of 12 is:
12 = 2 × 2 × 3
To find the LCM of 10 and 12 using prime factorization, we need to multiply the highest power of each prime number that appears in either the prime factorization of 10 or the prime factorization of 12.
In this case, the highest power of 2 that appears is 2, and the highest power of 3 that appears is 1. Therefore, the LCM of 10 and 12 is:
LCM(10,12) = 2 × 2 × 3 × 5 = 60
The LCM of 10 and 12 can also be found using the Euclidean algorithm.
The Euclidean algorithm is a method for finding the greatest common divisor (GCD) of two numbers. It can also be used to find the LCM of two numbers.
To find the LCM of 10 and 12 using the Euclidean algorithm, we need to find the GCD of 10 and 12.
The Euclidean algorithm proceeds as follows:
10 = 12 × 0 + 10 12 = 10 × 1 + 2 10 = 12 × 0 + 10 12 = 10 × 1 + 2 10 = 5 × 2 + 0
Therefore, the GCD of 10 and 12 is 2.
The LCM of 10 and 12 is:
LCM(10,12) =
You might enjoy: What Is the Lcm of 12 and 7?
What is the lcm for 10 and 13?
The least common multiple (LCM) of two whole numbers is the smallest whole number that is a multiple of both of the numbers. In other words, the LCM is the smallest number that both 10 and 13 will go into evenly.
To find the LCM of 10 and 13, we can list the multiples of each number and look for the smallest number that appears on both lists:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195
The LCM of 10 and 13 is 130.
A fresh viewpoint: Common Multiple
What is the lcm for 10 and 14?
The least common multiple (LCM) of two integers a and b is the smallest positive integer that is evenly divisible by both a and b. In other words, the LCM is the smallest positive integer that is a multiple of both a and b.
The LCM of 10 and 14 is 70.
To find the LCM of 10 and 14, we need to first find the prime factorization of each number.
The prime factorization of 10 is 2 × 5
The prime factorization of 14 is 2 × 7
Now that we have the prime factorization of each number, we can find the LCM.
To find the LCM, we need to find the product of the greatest power of each prime number that is common to both 10 and 14.
2 is a common prime number, and the greatest power of 2 that is common to both 10 and 14 is 2.
5 is a common prime number, and the greatest power of 5 that is common to both 10 and 14 is 1.
7 is a common prime number, and the greatest power of 7 that is common to both 10 and 14 is 1.
Now that we have the greatest power of each common prime number, we can find the LCM.
The LCM of 10 and 14 is 2 × 5 × 7, which is 70.
Worth a look: What Is the Lcm of 2 and 8?
What is the lcm for 10 and 15?
The least common multiple (LCM) of 10 and 15 is 30.
The LCM is the smallest positive integer that is a multiple of both 10 and 15. In other words, the LCM is the smallest positive integer that is divisible by both 10 and 15.
To find the LCM of 10 and 15, we can use the prime factorization method.
The prime factorization of 10 is: 10 = 2 × 5
The prime factorization of 15 is: 15 = 3 × 5
The LCM of 10 and 15 is: LCM(10,15) = 2 × 3 × 5 = 30
Another way to find the LCM of 10 and 15 is to use the greatest common factor (GCF).
The greatest common factor of 10 and 15 is 5.
The GCF is the largest positive integer that is a divisor of both 10 and 15. In other words, the GCF is the largest positive integer that divides evenly into both 10 and 15.
To find the LCM of 10 and 15 using the GCF, we simply multiply the two numbers and then divide by the GCF.
LCM(10,15) = (10 × 15) ÷ GCF(10,15) = (10 × 15) ÷ 5 = 150 ÷ 5 = 30
Curious to learn more? Check out: What Is the Gcf of 10 and 6?
What is the lcm for 10 and 16?
The lowest common multiple (LCM) of two integers is the smallest positive integer that is evenly divisible by both numbers. 10 and 16 don't have any common factors, so their LCM is simply the product of the two numbers: 10 * 16 = 160.
What is the lcm for 10 and 17?
The lowest common multiple (LCM) of two integers a and b is the smallest positive integer that is divisible by both a and b. In other words, the LCM is the smallest positive integer that is a multiple of both a and b. The LCM of 10 and 17 is 170.
To find the LCM of 10 and 17, we first need to find the greatest common divisor (GCD) of 10 and 17. The GCD of two integers a and b is the largest positive integer that is a divisor of both a and b. In other words, the GCD is the largest positive integer that divides both a and b without leaving a remainder. The GCD of 10 and 17 is 1.
Now that we know the GCD of 10 and 17, we can use the fact that the LCM of two integers a and b is equal to the product of a and b divided by the GCD of a and b. In other words, the LCM of 10 and 17 is equal to 10 x 17 / 1, which is 170.
Thus, the LCM of 10 and 17 is 170.
What is the lcm for 10 and 18?
10 and 18 have a that their is 1, so the LCM would be 10.
Frequently Asked Questions
What is the LCM of 6 8 and 10?
LCM (6, 8, 10) = 2 × 2 × 2 × 3 × 5 = 120
What is the LCM of 8 and 10 in exponential form?
The LCM of 8 and 10 in exponential form is 128.
What is the LCM of 2 4 6 8 10 12?
2, 4, 6, 8, 10, 12.
What is the least common multiple of 6 and 8?
The LCM of 6 and 8 is 24 because 24 is the smallest number that is both a multiple of 6 and a multiple of 8.
What is the LCM of 8 10 and 15?
LCM (8, 10, 15) = 2 × 2 × 2 × 3 × 5 = 120
Sources
- https://answers.everydaycalculation.com/lcm/10-8
- https://byjus.com/maths/lcm-of-8-and-10/
- https://answers.everydaycalculation.com/lcm/8-10
- https://calculationcalculator.com/lcm-of-11-and-10
- https://answers.everydaycalculation.com/lcm/10-11
- https://byjus.com/maths/lcm-of-10-and-11/
- https://onlinecalculator.guru/lcmgcf/lcm-of-10-and-11/
- https://answers.everydaycalculation.com/lcm/10-12
- https://calculationcalculator.com/lcm-of-12-and-10
- https://byjus.com/maths/lcm-of-10-and-12/
- https://answers.everydaycalculation.com/lcm/10-13
- https://frojeostern.com/what-is-the-lcm-for-12-and-18
- https://answers.everydaycalculation.com/lcm/10-14
- https://answers.everydaycalculation.com/lcm/10-15
- https://calculationcalculator.com/lcm-of-15-and-10
- https://byjus.com/maths/lcm-of-10-and-15/
- https://getcalc.com/math-lcm-10-15and45.htm
- https://getcalc.com/math-lcm-10-15and30.htm
- https://calculationcalculator.com/lcm-of-10-and-16
- https://answers.everydaycalculation.com/lcm/10-16
- https://calculationcalculator.com/lcm-of-16-and-10
- https://byjus.com/maths/lcm-of-10-and-16/
- https://calculationcalculator.com/lcm-of-10-and-17
- https://answers.everydaycalculation.com/lcm/10-17
- https://onlinecalculator.guru/lcmgcf/lcm-of-10-17/
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