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LCM of 386, 477, 260, 815

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


Find the LCM of 386, 477, 260, 815 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 386, 477, 260, 815. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,477,260,815

Given numbers are 386,477,260,815

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

The LCM of 386,477,260,815 is 3901545180.

Find LCM of 386,477,260,815 with Prime Factorization


2 386, 477, 260, 815
5 193, 477, 130, 815
193, 477, 26, 163

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

2 x 5 x 193 x 477 x 26 x 163 = 3901545180

Therefore, the lowest common multiple of 386,477,260,815 is 3901545180.

LCM Formula to Find Lowest Common Multiple of 386,477,260,815

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.

386 x 477 x 260 x 815 = 39015451800

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.

386 : 1, 2, 193, 386

477 : 1, 3, 9, 53, 159, 477

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,477,260,815, is 1.

Now, the common factors can be found like this.

386:2x 193

477:3x 3x 53

260:2x 2x 5x 13

815:5x 163

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 39015451800/(1x10)

LCM = 39015451800/10

LCM = 3901545180

Thus, we can understand that the LCM of 386,477,260,815 is 3901545180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 477, 260, 815

1. What is the LCM of 386, 477, 260, 815?

Answer: LCM of 386, 477, 260, 815 is 3901545180.

2. How to calculate the LCM of 386, 477, 260, 815?

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 386, 477, 260, 815.

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}.