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LCM of 538, 779, 851, 513

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


Find the LCM of 538, 779, 851, 513 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 538, 779, 851, 513. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,779,851,513

Given numbers are 538,779,851,513

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

The LCM of 538,779,851,513 is 9629706654.

Find LCM of 538,779,851,513 with Prime Factorization


19 538, 779, 851, 513
538, 41, 851, 27

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

19 x 538 x 41 x 851 x 27 = 9629706654

Therefore, the lowest common multiple of 538,779,851,513 is 9629706654.

LCM Formula to Find Lowest Common Multiple of 538,779,851,513

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.

538 x 779 x 851 x 513 = 182964426426

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.

538 : 1, 2, 269, 538

779 : 1, 19, 41, 779

851 : 1, 23, 37, 851

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,779,851,513, is 1.

Now, the common factors can be found like this.

538:2x 269

779:19x 41

851:23x 37

513:3x 3x 3x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 182964426426/(1x19)

LCM = 182964426426/19

LCM = 9629706654

Thus, we can understand that the LCM of 538,779,851,513 is 9629706654.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 779, 851, 513

1. What is the LCM of 538, 779, 851, 513?

Answer: LCM of 538, 779, 851, 513 is 9629706654.

2. How to calculate the LCM of 538, 779, 851, 513?

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 538, 779, 851, 513.

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}.