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LCM of 979, 926, 251, 116

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


Find the LCM of 979, 926, 251, 116 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, 926, 251, 116. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,926,251,116

Given numbers are 979,926,251,116

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

The LCM of 979,926,251,116 is 13197613132.

Find LCM of 979,926,251,116 with Prime Factorization


2 979, 926, 251, 116
979, 463, 251, 58

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

2 x 979 x 463 x 251 x 58 = 13197613132

Therefore, the lowest common multiple of 979,926,251,116 is 13197613132.

LCM Formula to Find Lowest Common Multiple of 979,926,251,116

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 926 x 251 x 116 = 26395226264

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

926 : 1, 2, 463, 926

251 : 1, 251

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,926,251,116, is 1.

Now, the common factors can be found like this.

979:11x 89

926:2x 463

251:251

116:2x 2x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 26395226264/(1x2)

LCM = 26395226264/2

LCM = 13197613132

Thus, we can understand that the LCM of 979,926,251,116 is 13197613132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 926, 251, 116

1. What is the LCM of 979, 926, 251, 116?

Answer: LCM of 979, 926, 251, 116 is 13197613132.

2. How to calculate the LCM of 979, 926, 251, 116?

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, 926, 251, 116.

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}.