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LCM of 517, 918, 239, 572

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


Find the LCM of 517, 918, 239, 572 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, 918, 239, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,918,239,572

Given numbers are 517,918,239,572

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

The LCM of 517,918,239,572 is 2949201684.

Find LCM of 517,918,239,572 with Prime Factorization


2 517, 918, 239, 572
11 517, 459, 239, 286
47, 459, 239, 26

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

2 x 11 x 47 x 459 x 239 x 26 = 2949201684

Therefore, the lowest common multiple of 517,918,239,572 is 2949201684.

LCM Formula to Find Lowest Common Multiple of 517,918,239,572

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 918 x 239 x 572 = 64882437048

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

239 : 1, 239

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,918,239,572, is 1.

Now, the common factors can be found like this.

517:11x 47

918:2x 3x 3x 3x 17

239:239

572:2x 2x 11x 13

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 64882437048/(1x22)

LCM = 64882437048/22

LCM = 2949201684

Thus, we can understand that the LCM of 517,918,239,572 is 2949201684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 918, 239, 572

1. What is the LCM of 517, 918, 239, 572?

Answer: LCM of 517, 918, 239, 572 is 2949201684.

2. How to calculate the LCM of 517, 918, 239, 572?

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, 918, 239, 572.

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}.