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LCM of 379, 386, 585, 936, 317

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


Find the LCM of 379, 386, 585, 936, 317 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 379, 386, 585, 936, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,386,585,936,317

Given numbers are 379,386,585,936,317

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

The LCM of 379,386,585,936,317 is 108517963320.

Find LCM of 379,386,585,936,317 with Prime Factorization


2 379, 386, 585, 936, 317
3 379, 193, 585, 468, 317
3 379, 193, 195, 156, 317
13 379, 193, 65, 52, 317
379, 193, 5, 4, 317

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

2 x 3 x 3 x 13 x 379 x 193 x 5 x 4 x 317 = 108517963320

Therefore, the lowest common multiple of 379,386,585,936,317 is 108517963320.

LCM Formula to Find Lowest Common Multiple of 379,386,585,936,317

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.

379 x 386 x 585 x 936 x 317 = 25393203416880

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.

379 : 1, 379

386 : 1, 2, 193, 386

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,386,585,936,317, is 1.

Now, the common factors can be found like this.

379:379

386:2x 193

585:3x 3x 5x 13

936:2x 2x 2x 3x 3x 13

317:317

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 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 25393203416880/(1x234)

LCM = 25393203416880/234

LCM = 108517963320

Thus, we can understand that the LCM of 379,386,585,936,317 is 108517963320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 386, 585, 936, 317

1. What is the LCM of 379, 386, 585, 936, 317?

Answer: LCM of 379, 386, 585, 936, 317 is 108517963320.

2. How to calculate the LCM of 379, 386, 585, 936, 317?

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 379, 386, 585, 936, 317.

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}.