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LCM of 995, 307, 413, 676, 507

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


Find the LCM of 995, 307, 413, 676, 507 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 995, 307, 413, 676, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 995,307,413,676,507

Given numbers are 995,307,413,676,507

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

The LCM of 995,307,413,676,507 is 255846487260.

Find LCM of 995,307,413,676,507 with Prime Factorization


13 995, 307, 413, 676, 507
13 995, 307, 413, 52, 39
995, 307, 413, 4, 3

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

13 x 13 x 995 x 307 x 413 x 4 x 3 = 255846487260

Therefore, the lowest common multiple of 995,307,413,676,507 is 255846487260.

LCM Formula to Find Lowest Common Multiple of 995,307,413,676,507

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.

995 x 307 x 413 x 676 x 507 = 43238056346940

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.

995 : 1, 5, 199, 995

307 : 1, 307

413 : 1, 7, 59, 413

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

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,307,413,676,507, is 1.

Now, the common factors can be found like this.

995:5x 199

307:307

413:7x 59

676:2x 2x 13x 13

507:3x 13x 13

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 43238056346940/(1x169)

LCM = 43238056346940/169

LCM = 255846487260

Thus, we can understand that the LCM of 995,307,413,676,507 is 255846487260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 995, 307, 413, 676, 507

1. What is the LCM of 995, 307, 413, 676, 507?

Answer: LCM of 995, 307, 413, 676, 507 is 255846487260.

2. How to calculate the LCM of 995, 307, 413, 676, 507?

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 995, 307, 413, 676, 507.

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}.