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LCM of 872, 517, 641, 672

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 872, 517, 641, 672 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 872, 517, 641, 672. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 872,517,641,672

Given numbers are 872,517,641,672

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 872,517,641,672 is 24274167456.

Find LCM of 872,517,641,672 with Prime Factorization


2 872, 517, 641, 672
2 436, 517, 641, 336
2 218, 517, 641, 168
109, 517, 641, 84

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 109 x 517 x 641 x 84 = 24274167456

Therefore, the lowest common multiple of 872,517,641,672 is 24274167456.

LCM Formula to Find Lowest Common Multiple of 872,517,641,672

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

872 x 517 x 641 x 672 = 194193339648

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

872 : 1, 2, 4, 8, 109, 218, 436, 872

517 : 1, 11, 47, 517

641 : 1, 641

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,517,641,672, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

517:11x 47

641:641

672:2x 2x 2x 2x 2x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 194193339648/(1x8)

LCM = 194193339648/8

LCM = 24274167456

Thus, we can understand that the LCM of 872,517,641,672 is 24274167456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 872, 517, 641, 672

1. What is the LCM of 872, 517, 641, 672?

Answer: LCM of 872, 517, 641, 672 is 24274167456.

2. How to calculate the LCM of 872, 517, 641, 672?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 872, 517, 641, 672.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.