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LCM of 887, 132, 572, 406, 878

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


Find the LCM of 887, 132, 572, 406, 878 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 887, 132, 572, 406, 878. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 887,132,572,406,878

Given numbers are 887,132,572,406,878

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

The LCM of 887,132,572,406,878 is 135644272764.

Find LCM of 887,132,572,406,878 with Prime Factorization


2 887, 132, 572, 406, 878
2 887, 66, 286, 203, 439
11 887, 33, 143, 203, 439
887, 3, 13, 203, 439

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

2 x 2 x 11 x 887 x 3 x 13 x 203 x 439 = 135644272764

Therefore, the lowest common multiple of 887,132,572,406,878 is 135644272764.

LCM Formula to Find Lowest Common Multiple of 887,132,572,406,878

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.

887 x 132 x 572 x 406 x 878 = 23873392006464

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.

887 : 1, 887

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,132,572,406,878, is 1.

Now, the common factors can be found like this.

887:887

132:2x 2x 3x 11

572:2x 2x 11x 13

406:2x 7x 29

878:2x 439

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 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 23873392006464/(1x176)

LCM = 23873392006464/176

LCM = 135644272764

Thus, we can understand that the LCM of 887,132,572,406,878 is 135644272764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 887, 132, 572, 406, 878

1. What is the LCM of 887, 132, 572, 406, 878?

Answer: LCM of 887, 132, 572, 406, 878 is 135644272764.

2. How to calculate the LCM of 887, 132, 572, 406, 878?

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 887, 132, 572, 406, 878.

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}.