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LCM of 507, 629, 790, 508

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


Find the LCM of 507, 629, 790, 508 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 507, 629, 790, 508. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 507,629,790,508

Given numbers are 507,629,790,508

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

The LCM of 507,629,790,508 is 63991075980.

Find LCM of 507,629,790,508 with Prime Factorization


2 507, 629, 790, 508
507, 629, 395, 254

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

2 x 507 x 629 x 395 x 254 = 63991075980

Therefore, the lowest common multiple of 507,629,790,508 is 63991075980.

LCM Formula to Find Lowest Common Multiple of 507,629,790,508

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.

507 x 629 x 790 x 508 = 127982151960

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.

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

629 : 1, 17, 37, 629

790 : 1, 2, 5, 10, 79, 158, 395, 790

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,629,790,508, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

629:17x 37

790:2x 5x 79

508:2x 2x 127

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

2 = 2

Therefore, the value for common factors is 2.

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 = 127982151960/(1x2)

LCM = 127982151960/2

LCM = 63991075980

Thus, we can understand that the LCM of 507,629,790,508 is 63991075980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 507, 629, 790, 508

1. What is the LCM of 507, 629, 790, 508?

Answer: LCM of 507, 629, 790, 508 is 63991075980.

2. How to calculate the LCM of 507, 629, 790, 508?

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 507, 629, 790, 508.

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}.