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LCM of 979, 626, 572, 982

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


Find the LCM of 979, 626, 572, 982 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 979, 626, 572, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,626,572,982

Given numbers are 979,626,572,982

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

The LCM of 979,626,572,982 is 7823694164.

Find LCM of 979,626,572,982 with Prime Factorization


2 979, 626, 572, 982
11 979, 313, 286, 491
89, 313, 26, 491

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

2 x 11 x 89 x 313 x 26 x 491 = 7823694164

Therefore, the lowest common multiple of 979,626,572,982 is 7823694164.

LCM Formula to Find Lowest Common Multiple of 979,626,572,982

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.

979 x 626 x 572 x 982 = 344242543216

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.

979 : 1, 11, 89, 979

626 : 1, 2, 313, 626

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,626,572,982, is 1.

Now, the common factors can be found like this.

979:11x 89

626:2x 313

572:2x 2x 11x 13

982:2x 491

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

2x 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 344242543216/(1x44)

LCM = 344242543216/44

LCM = 7823694164

Thus, we can understand that the LCM of 979,626,572,982 is 7823694164.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 626, 572, 982

1. What is the LCM of 979, 626, 572, 982?

Answer: LCM of 979, 626, 572, 982 is 7823694164.

2. How to calculate the LCM of 979, 626, 572, 982?

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 979, 626, 572, 982.

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}.