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LCM of 981, 115, 270, 307, 567

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


Find the LCM of 981, 115, 270, 307, 567 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 981, 115, 270, 307, 567. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,115,270,307,567

Given numbers are 981,115,270,307,567

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

The LCM of 981,115,270,307,567 is 4363909830.

Find LCM of 981,115,270,307,567 with Prime Factorization


3 981, 115, 270, 307, 567
3 327, 115, 90, 307, 189
3 109, 115, 30, 307, 63
5 109, 115, 10, 307, 21
109, 23, 2, 307, 21

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

3 x 3 x 3 x 5 x 109 x 23 x 2 x 307 x 21 = 4363909830

Therefore, the lowest common multiple of 981,115,270,307,567 is 4363909830.

LCM Formula to Find Lowest Common Multiple of 981,115,270,307,567

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.

981 x 115 x 270 x 307 x 567 = 5302150443450

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.

981 : 1, 3, 9, 109, 327, 981

115 : 1, 5, 23, 115

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

307 : 1, 307

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,115,270,307,567, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

115:5x 23

270:2x 3x 3x 3x 5

307:307

567:3x 3x 3x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3x 3x 5 = 1215

Therefore, the value for common factors is 1215.

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 = 5302150443450/(1x1215)

LCM = 5302150443450/1215

LCM = 4363909830

Thus, we can understand that the LCM of 981,115,270,307,567 is 4363909830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 115, 270, 307, 567

1. What is the LCM of 981, 115, 270, 307, 567?

Answer: LCM of 981, 115, 270, 307, 567 is 4363909830.

2. How to calculate the LCM of 981, 115, 270, 307, 567?

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 981, 115, 270, 307, 567.

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}.