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LCM of 401, 650, 772, 779, 877

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


Find the LCM of 401, 650, 772, 779, 877 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 401, 650, 772, 779, 877. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 401,650,772,779,877

Given numbers are 401,650,772,779,877

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

The LCM of 401,650,772,779,877 is 68735656494700.

Find LCM of 401,650,772,779,877 with Prime Factorization


2 401, 650, 772, 779, 877
401, 325, 386, 779, 877

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

2 x 401 x 325 x 386 x 779 x 877 = 68735656494700

Therefore, the lowest common multiple of 401,650,772,779,877 is 68735656494700.

LCM Formula to Find Lowest Common Multiple of 401,650,772,779,877

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.

401 x 650 x 772 x 779 x 877 = 137471312989400

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.

401 : 1, 401

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

772 : 1, 2, 4, 193, 386, 772

779 : 1, 19, 41, 779

877 : 1, 877

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,650,772,779,877, is 1.

Now, the common factors can be found like this.

401:401

650:2x 5x 5x 13

772:2x 2x 193

779:19x 41

877:877

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

2 = 2

Therefore, the value for common factors is 2.

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 = 137471312989400/(1x2)

LCM = 137471312989400/2

LCM = 68735656494700

Thus, we can understand that the LCM of 401,650,772,779,877 is 68735656494700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 401, 650, 772, 779, 877

1. What is the LCM of 401, 650, 772, 779, 877?

Answer: LCM of 401, 650, 772, 779, 877 is 68735656494700.

2. How to calculate the LCM of 401, 650, 772, 779, 877?

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 401, 650, 772, 779, 877.

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}.