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LCM of 637, 985, 590, 508, 756

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


Find the LCM of 637, 985, 590, 508, 756 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 637, 985, 590, 508, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 637,985,590,508,756

Given numbers are 637,985,590,508,756

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

The LCM of 637,985,590,508,756 is 507756101580.

Find LCM of 637,985,590,508,756 with Prime Factorization


2 637, 985, 590, 508, 756
2 637, 985, 295, 254, 378
5 637, 985, 295, 127, 189
7 637, 197, 59, 127, 189
91, 197, 59, 127, 27

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

2 x 2 x 5 x 7 x 91 x 197 x 59 x 127 x 27 = 507756101580

Therefore, the lowest common multiple of 637,985,590,508,756 is 507756101580.

LCM Formula to Find Lowest Common Multiple of 637,985,590,508,756

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.

637 x 985 x 590 x 508 x 756 = 142171708442400

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.

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

985 : 1, 5, 197, 985

590 : 1, 2, 5, 10, 59, 118, 295, 590

508 : 1, 2, 4, 127, 254, 508

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,985,590,508,756, is 1.

Now, the common factors can be found like this.

637:7x 7x 13

985:5x 197

590:2x 5x 59

508:2x 2x 127

756:2x 2x 3x 3x 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 2x 5x 7 = 280

Therefore, the value for common factors is 280.

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 = 142171708442400/(1x280)

LCM = 142171708442400/280

LCM = 507756101580

Thus, we can understand that the LCM of 637,985,590,508,756 is 507756101580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 637, 985, 590, 508, 756

1. What is the LCM of 637, 985, 590, 508, 756?

Answer: LCM of 637, 985, 590, 508, 756 is 507756101580.

2. How to calculate the LCM of 637, 985, 590, 508, 756?

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 637, 985, 590, 508, 756.

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}.