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LCM of 979, 973, 572, 209, 849

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


Find the LCM of 979, 973, 572, 209, 849 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, 973, 572, 209, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,973,572,209,849

Given numbers are 979,973,572,209,849

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

The LCM of 979,973,572,209,849 is 799024630404.

Find LCM of 979,973,572,209,849 with Prime Factorization


11 979, 973, 572, 209, 849
89, 973, 52, 19, 849

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

11 x 89 x 973 x 52 x 19 x 849 = 799024630404

Therefore, the lowest common multiple of 979,973,572,209,849 is 799024630404.

LCM Formula to Find Lowest Common Multiple of 979,973,572,209,849

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 973 x 572 x 209 x 849 = 96681980278884

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

973 : 1, 7, 139, 973

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

209 : 1, 11, 19, 209

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,973,572,209,849, is 1.

Now, the common factors can be found like this.

979:11x 89

973:7x 139

572:2x 2x 11x 13

209:11x 19

849:3x 283

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 96681980278884/(1x121)

LCM = 96681980278884/121

LCM = 799024630404

Thus, we can understand that the LCM of 979,973,572,209,849 is 799024630404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 973, 572, 209, 849

1. What is the LCM of 979, 973, 572, 209, 849?

Answer: LCM of 979, 973, 572, 209, 849 is 799024630404.

2. How to calculate the LCM of 979, 973, 572, 209, 849?

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, 973, 572, 209, 849.

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}.