What Is the Lcm of 8 and 20?

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The lcm of 8 and 20 is 40.

The lcm (least 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 they both go into evenly.

To find the lcm of 8 and 20, we can start by listing the multiples of each number:

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

Multiples of 20: 20, 40, 60, 80, 100, 120

As we can see, the smallest number that appears on both lists is 40. Therefore, 40 is the lcm of 8 and 20.

It is worth mentioning that there is more than one way to find the lcm of two numbers. For example, we could also have used the greatest common factor (gcf). To find the gcf of 8 and 20, we would list the factors of each number:

Factors of 8: 1, 2, 4, 8

Factors of 20: 1, 2, 4, 5, 10, 20

The greatest factor that appears on both lists is 4. Therefore, the lcm of 8 and 20 is 4 times the gcf, which is 4 x 4 = 16.

Another method is to simply multiply the two numbers together and then find the smallest number that is a multiple of both. In this case, we would multiply 8 x 20 to get 160. Then, we would list the multiples of 160:

Multiples of 160: 160, 320, 480, 640, 800, 960, 1120, 1280, 1440, 1600, 1760, 1920, 2080, 2240, 2400, 2560, 2720, 2880, 3040, 3200, 3360, 3520, 3680, 3840, 4000, 4160, 4320, 4480, 4640, 4800, 4960

The smallest number on this list is 160, so the lcm of 8 and 20 is 160.

As we can see, there are a few different ways to find the lcm of two numbers. In general, the lcm is the smallest number that is a multiple of both numbers.

See what others are reading: What Is the Gcf of 8 and 24?

What is the greatest common divisor of 8 and 20?

The greatest common divisor (GCD) of two or more integers is the largest positive integer that divides each of the integers. For example, the GCD of 8 and 20 is 4.

There are a few different methods that can be used to find the GCD of two or more integers. One method is the Euclidean algorithm, which is a step-by-step process for finding the GCD of two integers. The Euclidean algorithm can be written as a recursive function, which means that the function calls itself until it reaches a desired outcome.

Another method for finding the GCD of two or more integers is the prime factorization method. This method involves expressing the two numbers as the product of theirprime factors. For example, 8 can be expressed as 2 x 2 x 2, and 20 can be expressed as 2 x 2 x 5. The GCD of 8 and 20 is the product of the common prime factors, which in this case is 2 x 2, or 4.

The GCD of 8 and 20 is 4.

For more insights, see: What Is the Lcm of 4 and 10?

What is the highest common factor of 8 and 20?

The highest common factor (H.C.F) of 8 and 20 is 4.

To find the H.C.F of any two given numbers, we need to follow a few simple steps:

1) We start by listing the factors of each number. The factors of 8 are 1, 2, 4 and 8. The factors of 20 are 1, 2, 4, 5, 10 and 20.

2) We then identify the largest number that appears in both lists. In this case, it is 4.

3) We finally conclude that the H.C.F of 8 and 20 is 4.

It is worth noting that the H.C.F is sometimes also referred to as the greatest common divisor (G.C.D) or the greatest common factor (G.C.F).

For another approach, see: 1 20

What is the smallest number that is a multiple of both 8 and 20?

When it comes to finding the smallest number that is a multiple of both 8 and 20, we need to consider the factors of each number. The factors of 8 are 1, 2, 4, and 8. The factors of 20 are 1, 2, 4, 5, 10, and 20. To find the smallest number that is a multiple of both 8 and 20, we need to find the least common multiple (LCM) of 8 and 20.

The LCM of 8 and 20 can be found by listing the multiples of each number and finding the smallest number that appears in both lists. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416, 424, 432, 440, 448, 456, 464, 472, 480, 488, 496, 504, 512, 520, 528, 536, 544, 552, 560, 568, 576, 584, 592, 600.

The multiples of 20 are 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1020, 1040, 1060, 1080, 1100, 1120, 1140, 1160, 1180, 1200.

The least common multiple of 8 and 20 is 160.

For your interest: What Is the Lcm of 4 and 14?

What is the largest number that is a multiple of both 8 and 20?

The largest number that is a multiple of both 8 and 20 is 80. 80 is a multiple of 8 because it is evenly divisible by 8 (80 / 8 = 10). 80 is a multiple of 20 because it is evenly divisible by 20 (80 / 20 = 4). 80 is also a multiple of 40 because it is evenly divisible by 40 (80 / 40 = 2). 80 is the largest number that is a multiple of 8, 20, and 40.

Related reading: Wore Number 8

What is the smallest positive integer that is divisible by both 8 and 20?

The smallest positive integer that is divisible by both 8 and 20 is 40. 40 is divisible by 8 because it is a multiple of 8 (8x5), and it is divisible by 20 because it is a multiple of 20 (20x2). The number 40 is the smallest positive integer that is divisible by both 8 and 20.

What is the largest positive integer that is divisible by both 8 and 20?

The largest positive integer that is divisible by both 8 and 20 is 160.

What is the least common multiple of 8 and 20?

The least common multiple of 8 and 20 is 40.

The least common multiple (LCM) of two numbers is the smallest number that is evenly divisible by both of them. In other words, it is the smallest number that they both go into evenly.

The LCM of 8 and 20 is 40. To find the LCM, you can use the greatest common factor (GCF), which is also known as the greatest common divisor (GCD). The GCF is the largest number that both 8 and 20 go into evenly.

To find the GCF of 8 and 20, start by listing the factors of each number:

Factors of 8: 1, 2, 4, 8 Factors of 20: 1, 2, 4, 5, 10, 20

The GCF of 8 and 20 is 4.

To find the LCM, take the product of the two numbers and divide by the GCF:

LCM = (8 x 20) / 4 LCM = 40

If this caught your attention, see: Which Pair of Numbers Has an Lcm of 16?

What is the greatest common factor of 8 and 20?

There are a few different ways to find the greatest common factor (GCF) of 8 and 20. One way is to list the factors of each number and then find the largest number that appears on both lists. The factors of 8 are 1, 2, 4, and 8, and the factors of 20 are 1, 2, 4, 5, 10, and 20. The greatest number that appears on both lists is 4, so the GCF of 8 and 20 is 4.

Another way to find the GCF is to use the prime factorization method. To do this, you would break both 8 and 20 down into their prime factors. The prime factors of 8 are 2 x 2 x 2, and the prime factors of 20 are 2 x 2 x 5. When you put these two sets of factors together, you get 2 x 2 x 2 x 5, which can be simplified to 2 x 2 x 5. So, the GCF of 8 and 20 is also 2 x 2 x 5, or 10.

You can also use the Euclidean algorithm to find the GCF of 8 and 20. This is a more complicated method, but it can be useful if the other methods don't work. To use the Euclidean algorithm, you take the larger number and divide it by the smaller number. In this case, you would take 20 and divide it by 8. 20 divided by 8 equals 2 with a remainder of 4. Then, you take the smaller number, 8, and divide it by the remainder. 8 divided by 4 equals 2 with a remainder of 0. Since the remainder is 0, that means that 8 is a factor of 20. So, the GCF of 8 and 20 is 8.

There are a few different ways to find the greatest common factor of 8 and 20. The GCF is the largest number that appears on both lists of factors, or the product of the prime factors, or the number that evenly divides both numbers with no remainder.

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Frequently Asked Questions

What are the factors of 8?

1, 2, 4, 5, 8, 10, 16

What is the prime factorization of 8 and 20 in exponential form?

The prime factorization of 8 is 2, the prime factorization of 20 is 5.

What is the greatest common factor of 8 and 10?

The greatest common factor of 8 and 10 is 2.

What is the GCF of 8 and 12 in exponential form?

The GCF of 8 and 12 is 4.

How do you find the greatest common factor of 18?

The GCF for 18 is 6.

Mollie Sherman

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Mollie Sherman is an experienced and accomplished article author who has been writing for over 15 years. She specializes in health, nutrition, and lifestyle topics, with a focus on helping people understand the science behind everyday decisions. Mollie has published hundreds of articles in leading magazines and websites, including Women's Health, Shape Magazine, Cooking Light, and MindBodyGreen.

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