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LCM of 522, 255, 799, 572

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


Find the LCM of 522, 255, 799, 572 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 522, 255, 799, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 522,255,799,572

Given numbers are 522,255,799,572

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

The LCM of 522,255,799,572 is 596421540.

Find LCM of 522,255,799,572 with Prime Factorization


2 522, 255, 799, 572
3 261, 255, 799, 286
17 87, 85, 799, 286
87, 5, 47, 286

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

2 x 3 x 17 x 87 x 5 x 47 x 286 = 596421540

Therefore, the lowest common multiple of 522,255,799,572 is 596421540.

LCM Formula to Find Lowest Common Multiple of 522,255,799,572

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.

522 x 255 x 799 x 572 = 60834997080

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

255 : 1, 3, 5, 15, 17, 51, 85, 255

799 : 1, 17, 47, 799

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,255,799,572, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

255:3x 5x 17

799:17x 47

572:2x 2x 11x 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 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 60834997080/(1x102)

LCM = 60834997080/102

LCM = 596421540

Thus, we can understand that the LCM of 522,255,799,572 is 596421540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 522, 255, 799, 572

1. What is the LCM of 522, 255, 799, 572?

Answer: LCM of 522, 255, 799, 572 is 596421540.

2. How to calculate the LCM of 522, 255, 799, 572?

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 522, 255, 799, 572.

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}.