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LCM of 979, 364, 968, 749

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


Find the LCM of 979, 364, 968, 749 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, 364, 968, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,364,968,749

Given numbers are 979,364,968,749

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

The LCM of 979,364,968,749 is 838862024.

Find LCM of 979,364,968,749 with Prime Factorization


2 979, 364, 968, 749
2 979, 182, 484, 749
7 979, 91, 242, 749
11 979, 13, 242, 107
89, 13, 22, 107

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

2 x 2 x 7 x 11 x 89 x 13 x 22 x 107 = 838862024

Therefore, the lowest common multiple of 979,364,968,749 is 838862024.

LCM Formula to Find Lowest Common Multiple of 979,364,968,749

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 364 x 968 x 749 = 258369503392

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,364,968,749, is 1.

Now, the common factors can be found like this.

979:11x 89

364:2x 2x 7x 13

968:2x 2x 2x 11x 11

749:7x 107

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 258369503392/(1x308)

LCM = 258369503392/308

LCM = 838862024

Thus, we can understand that the LCM of 979,364,968,749 is 838862024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 364, 968, 749

1. What is the LCM of 979, 364, 968, 749?

Answer: LCM of 979, 364, 968, 749 is 838862024.

2. How to calculate the LCM of 979, 364, 968, 749?

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, 364, 968, 749.

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}.