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LCM of 979, 561, 626, 886

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


Find the LCM of 979, 561, 626, 886 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, 561, 626, 886. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,561,626,886

Given numbers are 979,561,626,886

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

The LCM of 979,561,626,886 is 13846210422.

Find LCM of 979,561,626,886 with Prime Factorization


2 979, 561, 626, 886
11 979, 561, 313, 443
89, 51, 313, 443

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

2 x 11 x 89 x 51 x 313 x 443 = 13846210422

Therefore, the lowest common multiple of 979,561,626,886 is 13846210422.

LCM Formula to Find Lowest Common Multiple of 979,561,626,886

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 561 x 626 x 886 = 304616629284

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

626 : 1, 2, 313, 626

886 : 1, 2, 443, 886

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,561,626,886, is 1.

Now, the common factors can be found like this.

979:11x 89

561:3x 11x 17

626:2x 313

886:2x 443

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 304616629284/(1x22)

LCM = 304616629284/22

LCM = 13846210422

Thus, we can understand that the LCM of 979,561,626,886 is 13846210422.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 561, 626, 886

1. What is the LCM of 979, 561, 626, 886?

Answer: LCM of 979, 561, 626, 886 is 13846210422.

2. How to calculate the LCM of 979, 561, 626, 886?

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, 561, 626, 886.

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}.