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LCM of 331, 989, 637, 115, 758

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


Find the LCM of 331, 989, 637, 115, 758 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 331, 989, 637, 115, 758. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,989,637,115,758

Given numbers are 331,989,637,115,758

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

The LCM of 331,989,637,115,758 is 790319918570.

Find LCM of 331,989,637,115,758 with Prime Factorization


23 331, 989, 637, 115, 758
331, 43, 637, 5, 758

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

23 x 331 x 43 x 637 x 5 x 758 = 790319918570

Therefore, the lowest common multiple of 331,989,637,115,758 is 790319918570.

LCM Formula to Find Lowest Common Multiple of 331,989,637,115,758

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.

331 x 989 x 637 x 115 x 758 = 18177358127110

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.

331 : 1, 331

989 : 1, 23, 43, 989

637 : 1, 7, 13, 49, 91, 637

115 : 1, 5, 23, 115

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,989,637,115,758, is 1.

Now, the common factors can be found like this.

331:331

989:23x 43

637:7x 7x 13

115:5x 23

758:2x 379

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

23 = 23

Therefore, the value for common factors is 23.

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 = 18177358127110/(1x23)

LCM = 18177358127110/23

LCM = 790319918570

Thus, we can understand that the LCM of 331,989,637,115,758 is 790319918570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 989, 637, 115, 758

1. What is the LCM of 331, 989, 637, 115, 758?

Answer: LCM of 331, 989, 637, 115, 758 is 790319918570.

2. How to calculate the LCM of 331, 989, 637, 115, 758?

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 331, 989, 637, 115, 758.

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}.