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LCM of 530, 572, 494, 264, 903

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


Find the LCM of 530, 572, 494, 264, 903 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 530, 572, 494, 264, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 530,572,494,264,903

Given numbers are 530,572,494,264,903

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

The LCM of 530,572,494,264,903 is 5201316120.

Find LCM of 530,572,494,264,903 with Prime Factorization


2 530, 572, 494, 264, 903
2 265, 286, 247, 132, 903
3 265, 143, 247, 66, 903
11 265, 143, 247, 22, 301
13 265, 13, 247, 2, 301
265, 1, 19, 2, 301

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

2 x 2 x 3 x 11 x 13 x 265 x 1 x 19 x 2 x 301 = 5201316120

Therefore, the lowest common multiple of 530,572,494,264,903 is 5201316120.

LCM Formula to Find Lowest Common Multiple of 530,572,494,264,903

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.

530 x 572 x 494 x 264 x 903 = 35701833847680

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.

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

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,572,494,264,903, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

572:2x 2x 11x 13

494:2x 13x 19

264:2x 2x 2x 3x 11

903:3x 7x 43

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 3x 11x 13 = 6864

Therefore, the value for common factors is 6864.

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 = 35701833847680/(1x6864)

LCM = 35701833847680/6864

LCM = 5201316120

Thus, we can understand that the LCM of 530,572,494,264,903 is 5201316120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 530, 572, 494, 264, 903

1. What is the LCM of 530, 572, 494, 264, 903?

Answer: LCM of 530, 572, 494, 264, 903 is 5201316120.

2. How to calculate the LCM of 530, 572, 494, 264, 903?

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 530, 572, 494, 264, 903.

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}.