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LCM of 8607, 5757

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


Find the LCM of 8607, 5757 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 8607, 5757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8607,5757

Given numbers are 8607,5757

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

The LCM of 8607,5757 is 869307.

Find LCM of 8607,5757 with Prime Factorization


3 8607, 5757
19 2869, 1919
151, 101

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

3 x 19 x 151 x 101 = 869307

Therefore, the lowest common multiple of 8607,5757 is 869307.

LCM Formula to Find Lowest Common Multiple of 8607,5757

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.

8607 x 5757 = 49550499

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.

8607 : 1, 3, 19, 57, 151, 453, 2869, 8607

5757 : 1, 3, 19, 57, 101, 303, 1919, 5757

57 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8607,5757, is 57.

Now, the common factors can be found like this.

8607:3x 19x 151

5757:3x 19x 101

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 = 49550499/(57x1)

LCM = 49550499/57

LCM = 869307

Thus, we can understand that the LCM of 8607,5757 is 869307.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8607, 5757

1. What is the LCM of 8607, 5757?

Answer: LCM of 8607, 5757 is 869307.

2. How to calculate the LCM of 8607, 5757?

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 8607, 5757.

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}.