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LCM of 764, 416, 720, 891, 317

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


Find the LCM of 764, 416, 720, 891, 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 764, 416, 720, 891, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 764,416,720,891,317

Given numbers are 764,416,720,891,317

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

The LCM of 764,416,720,891,317 is 112210544160.

Find LCM of 764,416,720,891,317 with Prime Factorization


2 764, 416, 720, 891, 317
2 382, 208, 360, 891, 317
2 191, 104, 180, 891, 317
2 191, 52, 90, 891, 317
3 191, 26, 45, 891, 317
3 191, 26, 15, 297, 317
191, 26, 5, 99, 317

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

2 x 2 x 2 x 2 x 3 x 3 x 191 x 26 x 5 x 99 x 317 = 112210544160

Therefore, the lowest common multiple of 764,416,720,891,317 is 112210544160.

LCM Formula to Find Lowest Common Multiple of 764,416,720,891,317

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.

764 x 416 x 720 x 891 x 317 = 64633273436160

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.

764 : 1, 2, 4, 191, 382, 764

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,416,720,891,317, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

416:2x 2x 2x 2x 2x 13

720:2x 2x 2x 2x 3x 3x 5

891:3x 3x 3x 3x 11

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 2x 2x 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 64633273436160/(1x576)

LCM = 64633273436160/576

LCM = 112210544160

Thus, we can understand that the LCM of 764,416,720,891,317 is 112210544160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 764, 416, 720, 891, 317

1. What is the LCM of 764, 416, 720, 891, 317?

Answer: LCM of 764, 416, 720, 891, 317 is 112210544160.

2. How to calculate the LCM of 764, 416, 720, 891, 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 764, 416, 720, 891, 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}.