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LCM of 637, 182, 388, 336, 742

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


Find the LCM of 637, 182, 388, 336, 742 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, 182, 388, 336, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 637,182,388,336,742

Given numbers are 637,182,388,336,742

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

The LCM of 637,182,388,336,742 is 157191216.

Find LCM of 637,182,388,336,742 with Prime Factorization


2 637, 182, 388, 336, 742
2 637, 91, 194, 168, 371
7 637, 91, 97, 84, 371
13 13, 91, 97, 12, 53
1, 7, 97, 12, 53

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

2 x 2 x 7 x 13 x 1 x 7 x 97 x 12 x 53 = 157191216

Therefore, the lowest common multiple of 637,182,388,336,742 is 157191216.

LCM Formula to Find Lowest Common Multiple of 637,182,388,336,742

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 182 x 388 x 336 x 742 = 11214650114304

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

388 : 1, 2, 4, 97, 194, 388

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,182,388,336,742, is 1.

Now, the common factors can be found like this.

637:7x 7x 13

182:2x 7x 13

388:2x 2x 97

336:2x 2x 2x 2x 3x 7

742:2x 7x 53

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 2x 7x 7x 7x 13 = 71344

Therefore, the value for common factors is 71344.

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 = 11214650114304/(1x71344)

LCM = 11214650114304/71344

LCM = 157191216

Thus, we can understand that the LCM of 637,182,388,336,742 is 157191216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 637, 182, 388, 336, 742

1. What is the LCM of 637, 182, 388, 336, 742?

Answer: LCM of 637, 182, 388, 336, 742 is 157191216.

2. How to calculate the LCM of 637, 182, 388, 336, 742?

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, 182, 388, 336, 742.

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}.