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LCM of 517, 343, 951, 634

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


Find the LCM of 517, 343, 951, 634 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, 343, 951, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,343,951,634

Given numbers are 517,343,951,634

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

The LCM of 517,343,951,634 is 337283562.

Find LCM of 517,343,951,634 with Prime Factorization


317 517, 343, 951, 634
517, 343, 3, 2

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

317 x 517 x 343 x 3 x 2 = 337283562

Therefore, the lowest common multiple of 517,343,951,634 is 337283562.

LCM Formula to Find Lowest Common Multiple of 517,343,951,634

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 343 x 951 x 634 = 106918889154

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

343 : 1, 7, 49, 343

951 : 1, 3, 317, 951

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,343,951,634, is 1.

Now, the common factors can be found like this.

517:11x 47

343:7x 7x 7

951:3x 317

634:2x 317

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

317 = 317

Therefore, the value for common factors is 317.

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 = 106918889154/(1x317)

LCM = 106918889154/317

LCM = 337283562

Thus, we can understand that the LCM of 517,343,951,634 is 337283562.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 343, 951, 634

1. What is the LCM of 517, 343, 951, 634?

Answer: LCM of 517, 343, 951, 634 is 337283562.

2. How to calculate the LCM of 517, 343, 951, 634?

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, 343, 951, 634.

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}.