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LCM of 572, 107, 706, 481

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


Find the LCM of 572, 107, 706, 481 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, 107, 706, 481. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,107,706,481

Given numbers are 572,107,706,481

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

The LCM of 572,107,706,481 is 799385444.

Find LCM of 572,107,706,481 with Prime Factorization


2 572, 107, 706, 481
13 286, 107, 353, 481
22, 107, 353, 37

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

2 x 13 x 22 x 107 x 353 x 37 = 799385444

Therefore, the lowest common multiple of 572,107,706,481 is 799385444.

LCM Formula to Find Lowest Common Multiple of 572,107,706,481

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 107 x 706 x 481 = 20784021544

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

107 : 1, 107

706 : 1, 2, 353, 706

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,107,706,481, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

107:107

706:2x 353

481:13x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 20784021544/(1x26)

LCM = 20784021544/26

LCM = 799385444

Thus, we can understand that the LCM of 572,107,706,481 is 799385444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 107, 706, 481

1. What is the LCM of 572, 107, 706, 481?

Answer: LCM of 572, 107, 706, 481 is 799385444.

2. How to calculate the LCM of 572, 107, 706, 481?

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, 107, 706, 481.

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}.