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LCM of 902, 779, 631, 399

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


Find the LCM of 902, 779, 631, 399 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 902, 779, 631, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,779,631,399

Given numbers are 902,779,631,399

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

The LCM of 902,779,631,399 is 227095638.

Find LCM of 902,779,631,399 with Prime Factorization


19 902, 779, 631, 399
41 902, 41, 631, 21
22, 1, 631, 21

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

19 x 41 x 22 x 1 x 631 x 21 = 227095638

Therefore, the lowest common multiple of 902,779,631,399 is 227095638.

LCM Formula to Find Lowest Common Multiple of 902,779,631,399

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.

902 x 779 x 631 x 399 = 176907502002

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

779 : 1, 19, 41, 779

631 : 1, 631

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,779,631,399, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

779:19x 41

631:631

399:3x 7x 19

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

19x 41 = 779

Therefore, the value for common factors is 779.

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 = 176907502002/(1x779)

LCM = 176907502002/779

LCM = 227095638

Thus, we can understand that the LCM of 902,779,631,399 is 227095638.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 779, 631, 399

1. What is the LCM of 902, 779, 631, 399?

Answer: LCM of 902, 779, 631, 399 is 227095638.

2. How to calculate the LCM of 902, 779, 631, 399?

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 902, 779, 631, 399.

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}.