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LCM of 8617, 2870

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


Find the LCM of 8617, 2870 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 8617, 2870. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8617,2870

Given numbers are 8617,2870

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

The LCM of 8617,2870 is 3532970.

Find LCM of 8617,2870 with Prime Factorization


7 8617, 2870
1231, 410

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

7 x 1231 x 410 = 3532970

Therefore, the lowest common multiple of 8617,2870 is 3532970.

LCM Formula to Find Lowest Common Multiple of 8617,2870

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.

8617 x 2870 = 24730790

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.

8617 : 1, 7, 1231, 8617

2870 : 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8617,2870, is 7.

Now, the common factors can be found like this.

8617:7x 1231

2870:2x 5x 7x 41

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 = 24730790/(7x1)

LCM = 24730790/7

LCM = 3532970

Thus, we can understand that the LCM of 8617,2870 is 3532970.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8617, 2870

1. What is the LCM of 8617, 2870?

Answer: LCM of 8617, 2870 is 3532970.

2. How to calculate the LCM of 8617, 2870?

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 8617, 2870.

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}.