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LCM of 591, 241, 572, 923

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


Find the LCM of 591, 241, 572, 923 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 591, 241, 572, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,241,572,923

Given numbers are 591,241,572,923

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

The LCM of 591,241,572,923 is 5784407772.

Find LCM of 591,241,572,923 with Prime Factorization


13 591, 241, 572, 923
591, 241, 44, 71

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

13 x 591 x 241 x 44 x 71 = 5784407772

Therefore, the lowest common multiple of 591,241,572,923 is 5784407772.

LCM Formula to Find Lowest Common Multiple of 591,241,572,923

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.

591 x 241 x 572 x 923 = 75197301036

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.

591 : 1, 3, 197, 591

241 : 1, 241

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

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,241,572,923, is 1.

Now, the common factors can be found like this.

591:3x 197

241:241

572:2x 2x 11x 13

923:13x 71

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

13 = 13

Therefore, the value for common factors is 13.

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 = 75197301036/(1x13)

LCM = 75197301036/13

LCM = 5784407772

Thus, we can understand that the LCM of 591,241,572,923 is 5784407772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 241, 572, 923

1. What is the LCM of 591, 241, 572, 923?

Answer: LCM of 591, 241, 572, 923 is 5784407772.

2. How to calculate the LCM of 591, 241, 572, 923?

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 591, 241, 572, 923.

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}.