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LCM of 8727, 6945

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


Find the LCM of 8727, 6945 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 8727, 6945. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8727,6945

Given numbers are 8727,6945

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

The LCM of 8727,6945 is 20203005.

Find LCM of 8727,6945 with Prime Factorization


3 8727, 6945
2909, 2315

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

3 x 2909 x 2315 = 20203005

Therefore, the lowest common multiple of 8727,6945 is 20203005.

LCM Formula to Find Lowest Common Multiple of 8727,6945

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.

8727 x 6945 = 60609015

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.

8727 : 1, 3, 2909, 8727

6945 : 1, 3, 5, 15, 463, 1389, 2315, 6945

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8727,6945, is 3.

Now, the common factors can be found like this.

8727:3x 2909

6945:3x 5x 463

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 = 60609015/(3x1)

LCM = 60609015/3

LCM = 20203005

Thus, we can understand that the LCM of 8727,6945 is 20203005.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8727, 6945

1. What is the LCM of 8727, 6945?

Answer: LCM of 8727, 6945 is 20203005.

2. How to calculate the LCM of 8727, 6945?

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 8727, 6945.

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}.