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LCM of 515, 359, 796, 218, 837

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


Find the LCM of 515, 359, 796, 218, 837 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 515, 359, 796, 218, 837. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,359,796,218,837

Given numbers are 515,359,796,218,837

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

The LCM of 515,359,796,218,837 is 13426620111180.

Find LCM of 515,359,796,218,837 with Prime Factorization


2 515, 359, 796, 218, 837
515, 359, 398, 109, 837

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

2 x 515 x 359 x 398 x 109 x 837 = 13426620111180

Therefore, the lowest common multiple of 515,359,796,218,837 is 13426620111180.

LCM Formula to Find Lowest Common Multiple of 515,359,796,218,837

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.

515 x 359 x 796 x 218 x 837 = 26853240222360

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.

515 : 1, 5, 103, 515

359 : 1, 359

796 : 1, 2, 4, 199, 398, 796

218 : 1, 2, 109, 218

837 : 1, 3, 9, 27, 31, 93, 279, 837

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,359,796,218,837, is 1.

Now, the common factors can be found like this.

515:5x 103

359:359

796:2x 2x 199

218:2x 109

837:3x 3x 3x 31

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 = 26853240222360/(1x2)

LCM = 26853240222360/2

LCM = 13426620111180

Thus, we can understand that the LCM of 515,359,796,218,837 is 13426620111180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 359, 796, 218, 837

1. What is the LCM of 515, 359, 796, 218, 837?

Answer: LCM of 515, 359, 796, 218, 837 is 13426620111180.

2. How to calculate the LCM of 515, 359, 796, 218, 837?

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 515, 359, 796, 218, 837.

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}.