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LCM of 875, 732, 374, 637

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


Find the LCM of 875, 732, 374, 637 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 875, 732, 374, 637. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 875,732,374,637

Given numbers are 875,732,374,637

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

The LCM of 875,732,374,637 is 10899388500.

Find LCM of 875,732,374,637 with Prime Factorization


2 875, 732, 374, 637
7 875, 366, 187, 637
125, 366, 187, 91

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

2 x 7 x 125 x 366 x 187 x 91 = 10899388500

Therefore, the lowest common multiple of 875,732,374,637 is 10899388500.

LCM Formula to Find Lowest Common Multiple of 875,732,374,637

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.

875 x 732 x 374 x 637 = 152591439000

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.

875 : 1, 5, 7, 25, 35, 125, 175, 875

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

374 : 1, 2, 11, 17, 22, 34, 187, 374

637 : 1, 7, 13, 49, 91, 637

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,732,374,637, is 1.

Now, the common factors can be found like this.

875:5x 5x 5x 7

732:2x 2x 3x 61

374:2x 11x 17

637:7x 7x 13

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 152591439000/(1x14)

LCM = 152591439000/14

LCM = 10899388500

Thus, we can understand that the LCM of 875,732,374,637 is 10899388500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 875, 732, 374, 637

1. What is the LCM of 875, 732, 374, 637?

Answer: LCM of 875, 732, 374, 637 is 10899388500.

2. How to calculate the LCM of 875, 732, 374, 637?

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 875, 732, 374, 637.

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}.