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LCM of 379, 704, 539, 572, 808

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


Find the LCM of 379, 704, 539, 572, 808 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 379, 704, 539, 572, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,704,539,572,808

Given numbers are 379,704,539,572,808

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

The LCM of 379,704,539,572,808 is 17166140992.

Find LCM of 379,704,539,572,808 with Prime Factorization


2 379, 704, 539, 572, 808
2 379, 352, 539, 286, 404
2 379, 176, 539, 143, 202
11 379, 88, 539, 143, 101
379, 8, 49, 13, 101

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

2 x 2 x 2 x 11 x 379 x 8 x 49 x 13 x 101 = 17166140992

Therefore, the lowest common multiple of 379,704,539,572,808 is 17166140992.

LCM Formula to Find Lowest Common Multiple of 379,704,539,572,808

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.

379 x 704 x 539 x 572 x 808 = 66467297921024

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.

379 : 1, 379

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

539 : 1, 7, 11, 49, 77, 539

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,704,539,572,808, is 1.

Now, the common factors can be found like this.

379:379

704:2x 2x 2x 2x 2x 2x 11

539:7x 7x 11

572:2x 2x 11x 13

808:2x 2x 2x 101

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 2x 11x 11 = 3872

Therefore, the value for common factors is 3872.

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 = 66467297921024/(1x3872)

LCM = 66467297921024/3872

LCM = 17166140992

Thus, we can understand that the LCM of 379,704,539,572,808 is 17166140992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 704, 539, 572, 808

1. What is the LCM of 379, 704, 539, 572, 808?

Answer: LCM of 379, 704, 539, 572, 808 is 17166140992.

2. How to calculate the LCM of 379, 704, 539, 572, 808?

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 379, 704, 539, 572, 808.

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}.