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LCM of 819, 231, 130, 676

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


Find the LCM of 819, 231, 130, 676 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 819, 231, 130, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 819,231,130,676

Given numbers are 819,231,130,676

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

The LCM of 819,231,130,676 is 2342340.

Find LCM of 819,231,130,676 with Prime Factorization


2 819, 231, 130, 676
3 819, 231, 65, 338
7 273, 77, 65, 338
13 39, 11, 65, 338
3, 11, 5, 26

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

2 x 3 x 7 x 13 x 3 x 11 x 5 x 26 = 2342340

Therefore, the lowest common multiple of 819,231,130,676 is 2342340.

LCM Formula to Find Lowest Common Multiple of 819,231,130,676

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.

819 x 231 x 130 x 676 = 16625929320

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

231 : 1, 3, 7, 11, 21, 33, 77, 231

130 : 1, 2, 5, 10, 13, 26, 65, 130

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,231,130,676, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

231:3x 7x 11

130:2x 5x 13

676:2x 2x 13x 13

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

2x 3x 7x 13x 13 = 7098

Therefore, the value for common factors is 7098.

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 = 16625929320/(1x7098)

LCM = 16625929320/7098

LCM = 2342340

Thus, we can understand that the LCM of 819,231,130,676 is 2342340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 819, 231, 130, 676

1. What is the LCM of 819, 231, 130, 676?

Answer: LCM of 819, 231, 130, 676 is 2342340.

2. How to calculate the LCM of 819, 231, 130, 676?

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 819, 231, 130, 676.

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}.