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LCM of 831, 676, 403, 643

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


Find the LCM of 831, 676, 403, 643 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 831, 676, 403, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,676,403,643

Given numbers are 831,676,403,643

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

The LCM of 831,676,403,643 is 11197482348.

Find LCM of 831,676,403,643 with Prime Factorization


13 831, 676, 403, 643
831, 52, 31, 643

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

13 x 831 x 52 x 31 x 643 = 11197482348

Therefore, the lowest common multiple of 831,676,403,643 is 11197482348.

LCM Formula to Find Lowest Common Multiple of 831,676,403,643

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.

831 x 676 x 403 x 643 = 145567270524

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.

831 : 1, 3, 277, 831

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

403 : 1, 13, 31, 403

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,676,403,643, is 1.

Now, the common factors can be found like this.

831:3x 277

676:2x 2x 13x 13

403:13x 31

643:643

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 = 145567270524/(1x13)

LCM = 145567270524/13

LCM = 11197482348

Thus, we can understand that the LCM of 831,676,403,643 is 11197482348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 676, 403, 643

1. What is the LCM of 831, 676, 403, 643?

Answer: LCM of 831, 676, 403, 643 is 11197482348.

2. How to calculate the LCM of 831, 676, 403, 643?

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 831, 676, 403, 643.

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}.