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LCM of 979, 851, 806, 650

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


Find the LCM of 979, 851, 806, 650 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, 851, 806, 650. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,851,806,650

Given numbers are 979,851,806,650

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

The LCM of 979,851,806,650 is 16787549350.

Find LCM of 979,851,806,650 with Prime Factorization


2 979, 851, 806, 650
13 979, 851, 403, 325
979, 851, 31, 25

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

2 x 13 x 979 x 851 x 31 x 25 = 16787549350

Therefore, the lowest common multiple of 979,851,806,650 is 16787549350.

LCM Formula to Find Lowest Common Multiple of 979,851,806,650

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 851 x 806 x 650 = 436476283100

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

851 : 1, 23, 37, 851

806 : 1, 2, 13, 26, 31, 62, 403, 806

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,851,806,650, is 1.

Now, the common factors can be found like this.

979:11x 89

851:23x 37

806:2x 13x 31

650:2x 5x 5x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 436476283100/(1x26)

LCM = 436476283100/26

LCM = 16787549350

Thus, we can understand that the LCM of 979,851,806,650 is 16787549350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 851, 806, 650

1. What is the LCM of 979, 851, 806, 650?

Answer: LCM of 979, 851, 806, 650 is 16787549350.

2. How to calculate the LCM of 979, 851, 806, 650?

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, 851, 806, 650.

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}.