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LCM of 632, 638, 131, 646, 677

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


Find the LCM of 632, 638, 131, 646, 677 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 632, 638, 131, 646, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 632,638,131,646,677

Given numbers are 632,638,131,646,677

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

The LCM of 632,638,131,646,677 is 5775242808808.

Find LCM of 632,638,131,646,677 with Prime Factorization


2 632, 638, 131, 646, 677
316, 319, 131, 323, 677

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

2 x 316 x 319 x 131 x 323 x 677 = 5775242808808

Therefore, the lowest common multiple of 632,638,131,646,677 is 5775242808808.

LCM Formula to Find Lowest Common Multiple of 632,638,131,646,677

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.

632 x 638 x 131 x 646 x 677 = 23100971235232

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.

632 : 1, 2, 4, 8, 79, 158, 316, 632

638 : 1, 2, 11, 22, 29, 58, 319, 638

131 : 1, 131

646 : 1, 2, 17, 19, 34, 38, 323, 646

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,638,131,646,677, is 1.

Now, the common factors can be found like this.

632:2x 2x 2x 79

638:2x 11x 29

131:131

646:2x 17x 19

677:677

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23100971235232/(1x4)

LCM = 23100971235232/4

LCM = 5775242808808

Thus, we can understand that the LCM of 632,638,131,646,677 is 5775242808808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 632, 638, 131, 646, 677

1. What is the LCM of 632, 638, 131, 646, 677?

Answer: LCM of 632, 638, 131, 646, 677 is 5775242808808.

2. How to calculate the LCM of 632, 638, 131, 646, 677?

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 632, 638, 131, 646, 677.

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}.