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LCM of 8517, 3087

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


Find the LCM of 8517, 3087 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 8517, 3087. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8517,3087

Given numbers are 8517,3087

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

The LCM of 8517,3087 is 8763993.

Find LCM of 8517,3087 with Prime Factorization


3 8517, 3087
2839, 1029

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

3 x 2839 x 1029 = 8763993

Therefore, the lowest common multiple of 8517,3087 is 8763993.

LCM Formula to Find Lowest Common Multiple of 8517,3087

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.

8517 x 3087 = 26291979

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.

8517 : 1, 3, 17, 51, 167, 501, 2839, 8517

3087 : 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8517,3087, is 3.

Now, the common factors can be found like this.

8517:3x 17x 167

3087:3x 3x 7x 7x 7

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

= 1

Therefore, the value for common factors is 1.

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 = 26291979/(3x1)

LCM = 26291979/3

LCM = 8763993

Thus, we can understand that the LCM of 8517,3087 is 8763993.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8517, 3087

1. What is the LCM of 8517, 3087?

Answer: LCM of 8517, 3087 is 8763993.

2. How to calculate the LCM of 8517, 3087?

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 8517, 3087.

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}.