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LCM of 327, 642, 114, 701

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


Find the LCM of 327, 642, 114, 701 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 327, 642, 114, 701. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,642,114,701

Given numbers are 327,642,114,701

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

The LCM of 327,642,114,701 is 932036982.

Find LCM of 327,642,114,701 with Prime Factorization


2 327, 642, 114, 701
3 327, 321, 57, 701
109, 107, 19, 701

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

2 x 3 x 109 x 107 x 19 x 701 = 932036982

Therefore, the lowest common multiple of 327,642,114,701 is 932036982.

LCM Formula to Find Lowest Common Multiple of 327,642,114,701

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.

327 x 642 x 114 x 701 = 16776665676

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.

327 : 1, 3, 109, 327

642 : 1, 2, 3, 6, 107, 214, 321, 642

114 : 1, 2, 3, 6, 19, 38, 57, 114

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,642,114,701, is 1.

Now, the common factors can be found like this.

327:3x 109

642:2x 3x 107

114:2x 3x 19

701:701

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 16776665676/(1x18)

LCM = 16776665676/18

LCM = 932036982

Thus, we can understand that the LCM of 327,642,114,701 is 932036982.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 642, 114, 701

1. What is the LCM of 327, 642, 114, 701?

Answer: LCM of 327, 642, 114, 701 is 932036982.

2. How to calculate the LCM of 327, 642, 114, 701?

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 327, 642, 114, 701.

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}.