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LCM of 413, 878, 878, 459

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


Find the LCM of 413, 878, 878, 459 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, 878, 878, 459. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,878,878,459

Given numbers are 413,878,878,459

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

The LCM of 413,878,878,459 is 166439826.

Find LCM of 413,878,878,459 with Prime Factorization


2 413, 878, 878, 459
439 413, 439, 439, 459
413, 1, 1, 459

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

2 x 439 x 413 x 1 x 1 x 459 = 166439826

Therefore, the lowest common multiple of 413,878,878,459 is 166439826.

LCM Formula to Find Lowest Common Multiple of 413,878,878,459

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 878 x 878 x 459 = 146134167228

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

878 : 1, 2, 439, 878

878 : 1, 2, 439, 878

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,878,878,459, is 1.

Now, the common factors can be found like this.

413:7x 59

878:2x 439

878:2x 439

459:3x 3x 3x 17

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

2x 439 = 878

Therefore, the value for common factors is 878.

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 = 146134167228/(1x878)

LCM = 146134167228/878

LCM = 166439826

Thus, we can understand that the LCM of 413,878,878,459 is 166439826.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 878, 878, 459

1. What is the LCM of 413, 878, 878, 459?

Answer: LCM of 413, 878, 878, 459 is 166439826.

2. How to calculate the LCM of 413, 878, 878, 459?

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, 878, 878, 459.

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}.