LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 574, 572, 268, 676, 908

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


Find the LCM of 574, 572, 268, 676, 908 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 574, 572, 268, 676, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,572,268,676,908

Given numbers are 574,572,268,676,908

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

The LCM of 574,572,268,676,908 is 32458013588.

Find LCM of 574,572,268,676,908 with Prime Factorization


2 574, 572, 268, 676, 908
2 287, 286, 134, 338, 454
13 287, 143, 67, 169, 227
287, 11, 67, 13, 227

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

2 x 2 x 13 x 287 x 11 x 67 x 13 x 227 = 32458013588

Therefore, the lowest common multiple of 574,572,268,676,908 is 32458013588.

LCM Formula to Find Lowest Common Multiple of 574,572,268,676,908

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.

574 x 572 x 268 x 676 x 908 = 54010134610432

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

268 : 1, 2, 4, 67, 134, 268

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

908 : 1, 2, 4, 227, 454, 908

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,572,268,676,908, is 2.

Now, the common factors can be found like this.

574:2x 7x 41

572:2x 2x 11x 13

268:2x 2x 67

676:2x 2x 13x 13

908:2x 2x 227

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 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 54010134610432/(2x832)

LCM = 54010134610432/1664

LCM = 32458013588

Thus, we can understand that the LCM of 574,572,268,676,908 is 32458013588.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 574, 572, 268, 676, 908

1. What is the LCM of 574, 572, 268, 676, 908?

Answer: LCM of 574, 572, 268, 676, 908 is 32458013588.

2. How to calculate the LCM of 574, 572, 268, 676, 908?

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 574, 572, 268, 676, 908.

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}.