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LCM of 572, 923, 497, 228, 637

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


Find the LCM of 572, 923, 497, 228, 637 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, 923, 497, 228, 637. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,923,497,228,637

Given numbers are 572,923,497,228,637

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

The LCM of 572,923,497,228,637 is 113429316.

Find LCM of 572,923,497,228,637 with Prime Factorization


2 572, 923, 497, 228, 637
2 286, 923, 497, 114, 637
7 143, 923, 497, 57, 637
13 143, 923, 71, 57, 91
71 11, 71, 71, 57, 7
11, 1, 1, 57, 7

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

2 x 2 x 7 x 13 x 71 x 11 x 1 x 1 x 57 x 7 = 113429316

Therefore, the lowest common multiple of 572,923,497,228,637 is 113429316.

LCM Formula to Find Lowest Common Multiple of 572,923,497,228,637

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 923 x 497 x 228 x 637 = 38109074155152

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

923 : 1, 13, 71, 923

497 : 1, 7, 71, 497

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

637 : 1, 7, 13, 49, 91, 637

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,923,497,228,637, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

923:13x 71

497:7x 71

228:2x 2x 3x 19

637:7x 7x 13

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 7x 13x 13x 71 = 335972

Therefore, the value for common factors is 335972.

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 = 38109074155152/(1x335972)

LCM = 38109074155152/335972

LCM = 113429316

Thus, we can understand that the LCM of 572,923,497,228,637 is 113429316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 923, 497, 228, 637

1. What is the LCM of 572, 923, 497, 228, 637?

Answer: LCM of 572, 923, 497, 228, 637 is 113429316.

2. How to calculate the LCM of 572, 923, 497, 228, 637?

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, 923, 497, 228, 637.

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}.