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LCM of 801, 627, 591, 726

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


Find the LCM of 801, 627, 591, 726 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 801, 627, 591, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,627,591,726

Given numbers are 801,627,591,726

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

The LCM of 801,627,591,726 is 725550606.

Find LCM of 801,627,591,726 with Prime Factorization


3 801, 627, 591, 726
11 267, 209, 197, 242
267, 19, 197, 22

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

3 x 11 x 267 x 19 x 197 x 22 = 725550606

Therefore, the lowest common multiple of 801,627,591,726 is 725550606.

LCM Formula to Find Lowest Common Multiple of 801,627,591,726

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.

801 x 627 x 591 x 726 = 215488529982

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.

801 : 1, 3, 9, 89, 267, 801

627 : 1, 3, 11, 19, 33, 57, 209, 627

591 : 1, 3, 197, 591

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,627,591,726, is 3.

Now, the common factors can be found like this.

801:3x 3x 89

627:3x 11x 19

591:3x 197

726:2x 3x 11x 11

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

3x 3x 11 = 99

Therefore, the value for common factors is 99.

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 = 215488529982/(3x99)

LCM = 215488529982/297

LCM = 725550606

Thus, we can understand that the LCM of 801,627,591,726 is 725550606.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 627, 591, 726

1. What is the LCM of 801, 627, 591, 726?

Answer: LCM of 801, 627, 591, 726 is 725550606.

2. How to calculate the LCM of 801, 627, 591, 726?

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 801, 627, 591, 726.

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}.