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LCM of 958, 286, 317, 858, 987

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


Find the LCM of 958, 286, 317, 858, 987 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 958, 286, 317, 858, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,286,317,858,987

Given numbers are 958,286,317,858,987

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

The LCM of 958,286,317,858,987 is 42862545726.

Find LCM of 958,286,317,858,987 with Prime Factorization


2 958, 286, 317, 858, 987
3 479, 143, 317, 429, 987
11 479, 143, 317, 143, 329
13 479, 13, 317, 13, 329
479, 1, 317, 1, 329

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

2 x 3 x 11 x 13 x 479 x 1 x 317 x 1 x 329 = 42862545726

Therefore, the lowest common multiple of 958,286,317,858,987 is 42862545726.

LCM Formula to Find Lowest Common Multiple of 958,286,317,858,987

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.

958 x 286 x 317 x 858 x 987 = 73552128465816

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.

958 : 1, 2, 479, 958

286 : 1, 2, 11, 13, 22, 26, 143, 286

317 : 1, 317

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

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,286,317,858,987, is 1.

Now, the common factors can be found like this.

958:2x 479

286:2x 11x 13

317:317

858:2x 3x 11x 13

987:3x 7x 47

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 3x 11x 13 = 1716

Therefore, the value for common factors is 1716.

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 = 73552128465816/(1x1716)

LCM = 73552128465816/1716

LCM = 42862545726

Thus, we can understand that the LCM of 958,286,317,858,987 is 42862545726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 286, 317, 858, 987

1. What is the LCM of 958, 286, 317, 858, 987?

Answer: LCM of 958, 286, 317, 858, 987 is 42862545726.

2. How to calculate the LCM of 958, 286, 317, 858, 987?

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 958, 286, 317, 858, 987.

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}.