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LCM of 116, 979, 860, 980, 493

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


Find the LCM of 116, 979, 860, 980, 493 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 116, 979, 860, 980, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 116,979,860,980,493

Given numbers are 116,979,860,980,493

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

The LCM of 116,979,860,980,493 is 20338744580.

Find LCM of 116,979,860,980,493 with Prime Factorization


2 116, 979, 860, 980, 493
2 58, 979, 430, 490, 493
5 29, 979, 215, 245, 493
29 29, 979, 43, 49, 493
1, 979, 43, 49, 17

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

2 x 2 x 5 x 29 x 1 x 979 x 43 x 49 x 17 = 20338744580

Therefore, the lowest common multiple of 116,979,860,980,493 is 20338744580.

LCM Formula to Find Lowest Common Multiple of 116,979,860,980,493

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.

116 x 979 x 860 x 980 x 493 = 47185887425600

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.

116 : 1, 2, 4, 29, 58, 116

979 : 1, 11, 89, 979

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,979,860,980,493, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

979:11x 89

860:2x 2x 5x 43

980:2x 2x 5x 7x 7

493:17x 29

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 2x 2x 5x 29 = 2320

Therefore, the value for common factors is 2320.

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 = 47185887425600/(1x2320)

LCM = 47185887425600/2320

LCM = 20338744580

Thus, we can understand that the LCM of 116,979,860,980,493 is 20338744580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 116, 979, 860, 980, 493

1. What is the LCM of 116, 979, 860, 980, 493?

Answer: LCM of 116, 979, 860, 980, 493 is 20338744580.

2. How to calculate the LCM of 116, 979, 860, 980, 493?

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 116, 979, 860, 980, 493.

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}.