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LCM of 682, 872, 598, 461, 979

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


Find the LCM of 682, 872, 598, 461, 979 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 682, 872, 598, 461, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,872,598,461,979

Given numbers are 682,872,598,461,979

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

The LCM of 682,872,598,461,979 is 3647816507192.

Find LCM of 682,872,598,461,979 with Prime Factorization


2 682, 872, 598, 461, 979
11 341, 436, 299, 461, 979
31, 436, 299, 461, 89

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

2 x 11 x 31 x 436 x 299 x 461 x 89 = 3647816507192

Therefore, the lowest common multiple of 682,872,598,461,979 is 3647816507192.

LCM Formula to Find Lowest Common Multiple of 682,872,598,461,979

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.

682 x 872 x 598 x 461 x 979 = 160503926316448

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

872 : 1, 2, 4, 8, 109, 218, 436, 872

598 : 1, 2, 13, 23, 26, 46, 299, 598

461 : 1, 461

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,872,598,461,979, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

872:2x 2x 2x 109

598:2x 13x 23

461:461

979:11x 89

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 = 160503926316448/(1x44)

LCM = 160503926316448/44

LCM = 3647816507192

Thus, we can understand that the LCM of 682,872,598,461,979 is 3647816507192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 872, 598, 461, 979

1. What is the LCM of 682, 872, 598, 461, 979?

Answer: LCM of 682, 872, 598, 461, 979 is 3647816507192.

2. How to calculate the LCM of 682, 872, 598, 461, 979?

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 682, 872, 598, 461, 979.

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}.