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LCM of 517, 377, 779, 352

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


Find the LCM of 517, 377, 779, 352 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 517, 377, 779, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,377,779,352

Given numbers are 517,377,779,352

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

The LCM of 517,377,779,352 is 4858691552.

Find LCM of 517,377,779,352 with Prime Factorization


11 517, 377, 779, 352
47, 377, 779, 32

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

11 x 47 x 377 x 779 x 32 = 4858691552

Therefore, the lowest common multiple of 517,377,779,352 is 4858691552.

LCM Formula to Find Lowest Common Multiple of 517,377,779,352

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.

517 x 377 x 779 x 352 = 53445607072

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.

517 : 1, 11, 47, 517

377 : 1, 13, 29, 377

779 : 1, 19, 41, 779

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,377,779,352, is 1.

Now, the common factors can be found like this.

517:11x 47

377:13x 29

779:19x 41

352:2x 2x 2x 2x 2x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 53445607072/(1x11)

LCM = 53445607072/11

LCM = 4858691552

Thus, we can understand that the LCM of 517,377,779,352 is 4858691552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 377, 779, 352

1. What is the LCM of 517, 377, 779, 352?

Answer: LCM of 517, 377, 779, 352 is 4858691552.

2. How to calculate the LCM of 517, 377, 779, 352?

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 517, 377, 779, 352.

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}.