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LCM of 721, 591, 591, 125

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


Find the LCM of 721, 591, 591, 125 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 721, 591, 591, 125. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,591,591,125

Given numbers are 721,591,591,125

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

The LCM of 721,591,591,125 is 53263875.

Find LCM of 721,591,591,125 with Prime Factorization


3 721, 591, 591, 125
197 721, 197, 197, 125
721, 1, 1, 125

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

3 x 197 x 721 x 1 x 1 x 125 = 53263875

Therefore, the lowest common multiple of 721,591,591,125 is 53263875.

LCM Formula to Find Lowest Common Multiple of 721,591,591,125

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.

721 x 591 x 591 x 125 = 31478950125

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.

721 : 1, 7, 103, 721

591 : 1, 3, 197, 591

591 : 1, 3, 197, 591

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,591,591,125, is 1.

Now, the common factors can be found like this.

721:7x 103

591:3x 197

591:3x 197

125:5x 5x 5

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

3x 197 = 591

Therefore, the value for common factors is 591.

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 = 31478950125/(1x591)

LCM = 31478950125/591

LCM = 53263875

Thus, we can understand that the LCM of 721,591,591,125 is 53263875.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 591, 591, 125

1. What is the LCM of 721, 591, 591, 125?

Answer: LCM of 721, 591, 591, 125 is 53263875.

2. How to calculate the LCM of 721, 591, 591, 125?

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 721, 591, 591, 125.

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}.