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LCM of 6976, 9047

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


Find the LCM of 6976, 9047 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 6976, 9047. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6976,9047

Given numbers are 6976,9047

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

The LCM of 6976,9047 is 579008.

Find LCM of 6976,9047 with Prime Factorization


109 6976, 9047
64, 83

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

109 x 64 x 83 = 579008

Therefore, the lowest common multiple of 6976,9047 is 579008.

LCM Formula to Find Lowest Common Multiple of 6976,9047

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.

6976 x 9047 = 63111872

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.

6976 : 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976

9047 : 1, 83, 109, 9047

109 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6976,9047, is 109.

Now, the common factors can be found like this.

6976:2x 2x 2x 2x 2x 2x 109

9047:83x 109

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 = 63111872/(109x1)

LCM = 63111872/109

LCM = 579008

Thus, we can understand that the LCM of 6976,9047 is 579008.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6976, 9047

1. What is the LCM of 6976, 9047?

Answer: LCM of 6976, 9047 is 579008.

2. How to calculate the LCM of 6976, 9047?

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 6976, 9047.

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}.