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LCM of 710, 791, 352, 671, 637

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


Find the LCM of 710, 791, 352, 671, 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 710, 791, 352, 671, 637. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 710,791,352,671,637

Given numbers are 710,791,352,671,637

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

The LCM of 710,791,352,671,637 is 548679491360.

Find LCM of 710,791,352,671,637 with Prime Factorization


2 710, 791, 352, 671, 637
7 355, 791, 176, 671, 637
11 355, 113, 176, 671, 91
355, 113, 16, 61, 91

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

2 x 7 x 11 x 355 x 113 x 16 x 61 x 91 = 548679491360

Therefore, the lowest common multiple of 710,791,352,671,637 is 548679491360.

LCM Formula to Find Lowest Common Multiple of 710,791,352,671,637

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.

710 x 791 x 352 x 671 x 637 = 84496641669440

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

791 : 1, 7, 113, 791

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

671 : 1, 11, 61, 671

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 710,791,352,671,637, is 1.

Now, the common factors can be found like this.

710:2x 5x 71

791:7x 113

352:2x 2x 2x 2x 2x 11

671:11x 61

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 7x 11 = 154

Therefore, the value for common factors is 154.

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 = 84496641669440/(1x154)

LCM = 84496641669440/154

LCM = 548679491360

Thus, we can understand that the LCM of 710,791,352,671,637 is 548679491360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 710, 791, 352, 671, 637

1. What is the LCM of 710, 791, 352, 671, 637?

Answer: LCM of 710, 791, 352, 671, 637 is 548679491360.

2. How to calculate the LCM of 710, 791, 352, 671, 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 710, 791, 352, 671, 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}.