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LCM of 9567, 8718

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


Find the LCM of 9567, 8718 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 9567, 8718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9567,8718

Given numbers are 9567,8718

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

The LCM of 9567,8718 is 27801702.

Find LCM of 9567,8718 with Prime Factorization


3 9567, 8718
3189, 2906

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

3 x 3189 x 2906 = 27801702

Therefore, the lowest common multiple of 9567,8718 is 27801702.

LCM Formula to Find Lowest Common Multiple of 9567,8718

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.

9567 x 8718 = 83405106

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.

9567 : 1, 3, 9, 1063, 3189, 9567

8718 : 1, 2, 3, 6, 1453, 2906, 4359, 8718

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9567,8718, is 3.

Now, the common factors can be found like this.

9567:3x 3x 1063

8718:2x 3x 1453

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 = 83405106/(3x1)

LCM = 83405106/3

LCM = 27801702

Thus, we can understand that the LCM of 9567,8718 is 27801702.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9567, 8718

1. What is the LCM of 9567, 8718?

Answer: LCM of 9567, 8718 is 27801702.

2. How to calculate the LCM of 9567, 8718?

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 9567, 8718.

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}.