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LCM of 413, 579, 422, 876

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


Find the LCM of 413, 579, 422, 876 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 413, 579, 422, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,579,422,876

Given numbers are 413,579,422,876

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

The LCM of 413,579,422,876 is 14733092724.

Find LCM of 413,579,422,876 with Prime Factorization


2 413, 579, 422, 876
3 413, 579, 211, 438
413, 193, 211, 146

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

2 x 3 x 413 x 193 x 211 x 146 = 14733092724

Therefore, the lowest common multiple of 413,579,422,876 is 14733092724.

LCM Formula to Find Lowest Common Multiple of 413,579,422,876

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.

413 x 579 x 422 x 876 = 88398556344

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.

413 : 1, 7, 59, 413

579 : 1, 3, 193, 579

422 : 1, 2, 211, 422

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,579,422,876, is 1.

Now, the common factors can be found like this.

413:7x 59

579:3x 193

422:2x 211

876:2x 2x 3x 73

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 88398556344/(1x6)

LCM = 88398556344/6

LCM = 14733092724

Thus, we can understand that the LCM of 413,579,422,876 is 14733092724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 579, 422, 876

1. What is the LCM of 413, 579, 422, 876?

Answer: LCM of 413, 579, 422, 876 is 14733092724.

2. How to calculate the LCM of 413, 579, 422, 876?

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 413, 579, 422, 876.

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}.