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LCM of 981, 399, 623

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


Find the LCM of 981, 399, 623 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, 399, 623. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,399,623

Given numbers are 981,399,623

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

The LCM of 981,399,623 is 11612097.

Find LCM of 981,399,623 with Prime Factorization


3 981, 399, 623
7 327, 133, 623
327, 19, 89

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

3 x 7 x 327 x 19 x 89 = 11612097

Therefore, the lowest common multiple of 981,399,623 is 11612097.

LCM Formula to Find Lowest Common Multiple of 981,399,623

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 399 x 623 = 243854037

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,399,623, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

399:3x 7x 19

623:7x 89

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 243854037/(1x21)

LCM = 243854037/21

LCM = 11612097

Thus, we can understand that the LCM of 981,399,623 is 11612097.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 981, 399, 623

1. What is the LCM of 981, 399, 623?

Answer: LCM of 981, 399, 623 is 11612097.

2. How to calculate the LCM of 981, 399, 623?

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, 399, 623.

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}.