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LCM of 1520, 8695

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


Find the LCM of 1520, 8695 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 1520, 8695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1520,8695

Given numbers are 1520,8695

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

The LCM of 1520,8695 is 2643280.

Find LCM of 1520,8695 with Prime Factorization


5 1520, 8695
304, 1739

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

5 x 304 x 1739 = 2643280

Therefore, the lowest common multiple of 1520,8695 is 2643280.

LCM Formula to Find Lowest Common Multiple of 1520,8695

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.

1520 x 8695 = 13216400

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.

1520 : 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520

8695 : 1, 5, 37, 47, 185, 235, 1739, 8695

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1520,8695, is 5.

Now, the common factors can be found like this.

1520:2x 2x 2x 2x 5x 19

8695:5x 37x 47

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 = 13216400/(5x1)

LCM = 13216400/5

LCM = 2643280

Thus, we can understand that the LCM of 1520,8695 is 2643280.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1520, 8695

1. What is the LCM of 1520, 8695?

Answer: LCM of 1520, 8695 is 2643280.

2. How to calculate the LCM of 1520, 8695?

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 1520, 8695.

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}.