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LCM of 572, 748, 646, 530

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


Find the LCM of 572, 748, 646, 530 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 572, 748, 646, 530. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,748,646,530

Given numbers are 572,748,646,530

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

The LCM of 572,748,646,530 is 48960340.

Find LCM of 572,748,646,530 with Prime Factorization


2 572, 748, 646, 530
2 286, 374, 323, 265
11 143, 187, 323, 265
17 13, 17, 323, 265
13, 1, 19, 265

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

2 x 2 x 11 x 17 x 13 x 1 x 19 x 265 = 48960340

Therefore, the lowest common multiple of 572,748,646,530 is 48960340.

LCM Formula to Find Lowest Common Multiple of 572,748,646,530

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.

572 x 748 x 646 x 530 = 146489337280

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

646 : 1, 2, 17, 19, 34, 38, 323, 646

530 : 1, 2, 5, 10, 53, 106, 265, 530

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,748,646,530, is 2.

Now, the common factors can be found like this.

572:2x 2x 11x 13

748:2x 2x 11x 17

646:2x 17x 19

530:2x 5x 53

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 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 146489337280/(2x1496)

LCM = 146489337280/2992

LCM = 48960340

Thus, we can understand that the LCM of 572,748,646,530 is 48960340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 748, 646, 530

1. What is the LCM of 572, 748, 646, 530?

Answer: LCM of 572, 748, 646, 530 is 48960340.

2. How to calculate the LCM of 572, 748, 646, 530?

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 572, 748, 646, 530.

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}.