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LCM of 508, 135, 525, 779

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


Find the LCM of 508, 135, 525, 779 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 508, 135, 525, 779. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,135,525,779

Given numbers are 508,135,525,779

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

The LCM of 508,135,525,779 is 1869833700.

Find LCM of 508,135,525,779 with Prime Factorization


3 508, 135, 525, 779
5 508, 45, 175, 779
508, 9, 35, 779

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

3 x 5 x 508 x 9 x 35 x 779 = 1869833700

Therefore, the lowest common multiple of 508,135,525,779 is 1869833700.

LCM Formula to Find Lowest Common Multiple of 508,135,525,779

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.

508 x 135 x 525 x 779 = 28047505500

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.

508 : 1, 2, 4, 127, 254, 508

135 : 1, 3, 5, 9, 15, 27, 45, 135

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,135,525,779, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

135:3x 3x 3x 5

525:3x 5x 5x 7

779:19x 41

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 28047505500/(1x15)

LCM = 28047505500/15

LCM = 1869833700

Thus, we can understand that the LCM of 508,135,525,779 is 1869833700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 135, 525, 779

1. What is the LCM of 508, 135, 525, 779?

Answer: LCM of 508, 135, 525, 779 is 1869833700.

2. How to calculate the LCM of 508, 135, 525, 779?

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 508, 135, 525, 779.

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}.