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LCM of 858, 363, 196, 272, 518

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


Find the LCM of 858, 363, 196, 272, 518 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 858, 363, 196, 272, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,363,196,272,518

Given numbers are 858,363,196,272,518

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

The LCM of 858,363,196,272,518 is 2327108784.

Find LCM of 858,363,196,272,518 with Prime Factorization


2 858, 363, 196, 272, 518
2 429, 363, 98, 136, 259
3 429, 363, 49, 68, 259
7 143, 121, 49, 68, 259
11 143, 121, 7, 68, 37
13, 11, 7, 68, 37

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

2 x 2 x 3 x 7 x 11 x 13 x 11 x 7 x 68 x 37 = 2327108784

Therefore, the lowest common multiple of 858,363,196,272,518 is 2327108784.

LCM Formula to Find Lowest Common Multiple of 858,363,196,272,518

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.

858 x 363 x 196 x 272 x 518 = 8600994065664

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

363 : 1, 3, 11, 33, 121, 363

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,363,196,272,518, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

363:3x 11x 11

196:2x 2x 7x 7

272:2x 2x 2x 2x 17

518:2x 7x 37

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 3x 7x 11 = 3696

Therefore, the value for common factors is 3696.

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 = 8600994065664/(1x3696)

LCM = 8600994065664/3696

LCM = 2327108784

Thus, we can understand that the LCM of 858,363,196,272,518 is 2327108784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 363, 196, 272, 518

1. What is the LCM of 858, 363, 196, 272, 518?

Answer: LCM of 858, 363, 196, 272, 518 is 2327108784.

2. How to calculate the LCM of 858, 363, 196, 272, 518?

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 858, 363, 196, 272, 518.

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}.