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LCM of 572, 431, 550, 489, 616

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


Find the LCM of 572, 431, 550, 489, 616 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, 431, 550, 489, 616. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,431,550,489,616

Given numbers are 572,431,550,489,616

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

The LCM of 572,431,550,489,616 is 42193951800.

Find LCM of 572,431,550,489,616 with Prime Factorization


2 572, 431, 550, 489, 616
2 286, 431, 275, 489, 308
11 143, 431, 275, 489, 154
13, 431, 25, 489, 14

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

2 x 2 x 11 x 13 x 431 x 25 x 489 x 14 = 42193951800

Therefore, the lowest common multiple of 572,431,550,489,616 is 42193951800.

LCM Formula to Find Lowest Common Multiple of 572,431,550,489,616

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 431 x 550 x 489 x 616 = 40843745342400

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

431 : 1, 431

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

489 : 1, 3, 163, 489

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,431,550,489,616, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

431:431

550:2x 5x 5x 11

489:3x 163

616:2x 2x 2x 7x 11

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 11 = 968

Therefore, the value for common factors is 968.

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 = 40843745342400/(1x968)

LCM = 40843745342400/968

LCM = 42193951800

Thus, we can understand that the LCM of 572,431,550,489,616 is 42193951800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 431, 550, 489, 616

1. What is the LCM of 572, 431, 550, 489, 616?

Answer: LCM of 572, 431, 550, 489, 616 is 42193951800.

2. How to calculate the LCM of 572, 431, 550, 489, 616?

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, 431, 550, 489, 616.

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}.