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LCM of 568, 695, 676, 856, 856

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


Find the LCM of 568, 695, 676, 856, 856 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 568, 695, 676, 856, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,695,676,856,856

Given numbers are 568,695,676,856,856

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

The LCM of 568,695,676,856,856 is 7138445080.

Find LCM of 568,695,676,856,856 with Prime Factorization


2 568, 695, 676, 856, 856
2 284, 695, 338, 428, 428
2 142, 695, 169, 214, 214
107 71, 695, 169, 107, 107
71, 695, 169, 1, 1

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

2 x 2 x 2 x 107 x 71 x 695 x 169 x 1 x 1 = 7138445080

Therefore, the lowest common multiple of 568,695,676,856,856 is 7138445080.

LCM Formula to Find Lowest Common Multiple of 568,695,676,856,856

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.

568 x 695 x 676 x 856 x 856 = 195536287631360

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

695 : 1, 5, 139, 695

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

856 : 1, 2, 4, 8, 107, 214, 428, 856

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,695,676,856,856, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

695:5x 139

676:2x 2x 13x 13

856:2x 2x 2x 107

856:2x 2x 2x 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 2x 2x 2x 2x 2x 2x 107 = 27392

Therefore, the value for common factors is 27392.

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 = 195536287631360/(1x27392)

LCM = 195536287631360/27392

LCM = 7138445080

Thus, we can understand that the LCM of 568,695,676,856,856 is 7138445080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 695, 676, 856, 856

1. What is the LCM of 568, 695, 676, 856, 856?

Answer: LCM of 568, 695, 676, 856, 856 is 7138445080.

2. How to calculate the LCM of 568, 695, 676, 856, 856?

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 568, 695, 676, 856, 856.

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}.