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LCM of 836, 674, 579, 326, 677

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


Find the LCM of 836, 674, 579, 326, 677 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 836, 674, 579, 326, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,674,579,326,677

Given numbers are 836,674,579,326,677

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

The LCM of 836,674,579,326,677 is 18000767192628.

Find LCM of 836,674,579,326,677 with Prime Factorization


2 836, 674, 579, 326, 677
418, 337, 579, 163, 677

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

2 x 418 x 337 x 579 x 163 x 677 = 18000767192628

Therefore, the lowest common multiple of 836,674,579,326,677 is 18000767192628.

LCM Formula to Find Lowest Common Multiple of 836,674,579,326,677

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.

836 x 674 x 579 x 326 x 677 = 72003068770512

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

674 : 1, 2, 337, 674

579 : 1, 3, 193, 579

326 : 1, 2, 163, 326

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,674,579,326,677, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

674:2x 337

579:3x 193

326:2x 163

677:677

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 72003068770512/(1x4)

LCM = 72003068770512/4

LCM = 18000767192628

Thus, we can understand that the LCM of 836,674,579,326,677 is 18000767192628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 674, 579, 326, 677

1. What is the LCM of 836, 674, 579, 326, 677?

Answer: LCM of 836, 674, 579, 326, 677 is 18000767192628.

2. How to calculate the LCM of 836, 674, 579, 326, 677?

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 836, 674, 579, 326, 677.

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}.