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LCM of 572, 532, 362, 924, 586

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


Find the LCM of 572, 532, 362, 924, 586 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, 532, 362, 924, 586. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,532,362,924,586

Given numbers are 572,532,362,924,586

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

The LCM of 572,532,362,924,586 is 12103615524.

Find LCM of 572,532,362,924,586 with Prime Factorization


2 572, 532, 362, 924, 586
2 286, 266, 181, 462, 293
7 143, 133, 181, 231, 293
11 143, 19, 181, 33, 293
13, 19, 181, 3, 293

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

2 x 2 x 7 x 11 x 13 x 19 x 181 x 3 x 293 = 12103615524

Therefore, the lowest common multiple of 572,532,362,924,586 is 12103615524.

LCM Formula to Find Lowest Common Multiple of 572,532,362,924,586

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 532 x 362 x 924 x 586 = 59646617302272

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

362 : 1, 2, 181, 362

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

586 : 1, 2, 293, 586

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,532,362,924,586, is 2.

Now, the common factors can be found like this.

572:2x 2x 11x 13

532:2x 2x 7x 19

362:2x 181

924:2x 2x 3x 7x 11

586:2x 293

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 2x 2x 7x 11 = 2464

Therefore, the value for common factors is 2464.

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 = 59646617302272/(2x2464)

LCM = 59646617302272/4928

LCM = 12103615524

Thus, we can understand that the LCM of 572,532,362,924,586 is 12103615524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 532, 362, 924, 586

1. What is the LCM of 572, 532, 362, 924, 586?

Answer: LCM of 572, 532, 362, 924, 586 is 12103615524.

2. How to calculate the LCM of 572, 532, 362, 924, 586?

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, 532, 362, 924, 586.

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}.