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LCM of 959, 572, 374, 988, 327

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


Find the LCM of 959, 572, 374, 988, 327 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 959, 572, 374, 988, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 959,572,374,988,327

Given numbers are 959,572,374,988,327

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

The LCM of 959,572,374,988,327 is 57938188308.

Find LCM of 959,572,374,988,327 with Prime Factorization


2 959, 572, 374, 988, 327
2 959, 286, 187, 494, 327
11 959, 143, 187, 247, 327
13 959, 13, 17, 247, 327
959, 1, 17, 19, 327

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

2 x 2 x 11 x 13 x 959 x 1 x 17 x 19 x 327 = 57938188308

Therefore, the lowest common multiple of 959,572,374,988,327 is 57938188308.

LCM Formula to Find Lowest Common Multiple of 959,572,374,988,327

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.

959 x 572 x 374 x 988 x 327 = 66281287424352

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.

959 : 1, 7, 137, 959

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

374 : 1, 2, 11, 17, 22, 34, 187, 374

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,572,374,988,327, is 1.

Now, the common factors can be found like this.

959:7x 137

572:2x 2x 11x 13

374:2x 11x 17

988:2x 2x 13x 19

327:3x 109

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 11x 13 = 1144

Therefore, the value for common factors is 1144.

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 = 66281287424352/(1x1144)

LCM = 66281287424352/1144

LCM = 57938188308

Thus, we can understand that the LCM of 959,572,374,988,327 is 57938188308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 959, 572, 374, 988, 327

1. What is the LCM of 959, 572, 374, 988, 327?

Answer: LCM of 959, 572, 374, 988, 327 is 57938188308.

2. How to calculate the LCM of 959, 572, 374, 988, 327?

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 959, 572, 374, 988, 327.

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}.