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LCM of 627, 976, 604, 772, 347

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


Find the LCM of 627, 976, 604, 772, 347 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 627, 976, 604, 772, 347. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,976,604,772,347

Given numbers are 627,976,604,772,347

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

The LCM of 627,976,604,772,347 is 6188438646192.

Find LCM of 627,976,604,772,347 with Prime Factorization


2 627, 976, 604, 772, 347
2 627, 488, 302, 386, 347
627, 244, 151, 193, 347

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

2 x 2 x 627 x 244 x 151 x 193 x 347 = 6188438646192

Therefore, the lowest common multiple of 627,976,604,772,347 is 6188438646192.

LCM Formula to Find Lowest Common Multiple of 627,976,604,772,347

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.

627 x 976 x 604 x 772 x 347 = 99015018339072

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.

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

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

604 : 1, 2, 4, 151, 302, 604

772 : 1, 2, 4, 193, 386, 772

347 : 1, 347

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,976,604,772,347, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

976:2x 2x 2x 2x 61

604:2x 2x 151

772:2x 2x 193

347:347

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 2 = 16

Therefore, the value for common factors is 16.

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 = 99015018339072/(1x16)

LCM = 99015018339072/16

LCM = 6188438646192

Thus, we can understand that the LCM of 627,976,604,772,347 is 6188438646192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 976, 604, 772, 347

1. What is the LCM of 627, 976, 604, 772, 347?

Answer: LCM of 627, 976, 604, 772, 347 is 6188438646192.

2. How to calculate the LCM of 627, 976, 604, 772, 347?

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 627, 976, 604, 772, 347.

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}.