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LCM of 412, 551, 317, 814, 215

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


Find the LCM of 412, 551, 317, 814, 215 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 412, 551, 317, 814, 215. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,551,317,814,215

Given numbers are 412,551,317,814,215

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

The LCM of 412,551,317,814,215 is 6297105164020.

Find LCM of 412,551,317,814,215 with Prime Factorization


2 412, 551, 317, 814, 215
206, 551, 317, 407, 215

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

2 x 206 x 551 x 317 x 407 x 215 = 6297105164020

Therefore, the lowest common multiple of 412,551,317,814,215 is 6297105164020.

LCM Formula to Find Lowest Common Multiple of 412,551,317,814,215

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.

412 x 551 x 317 x 814 x 215 = 12594210328040

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.

412 : 1, 2, 4, 103, 206, 412

551 : 1, 19, 29, 551

317 : 1, 317

814 : 1, 2, 11, 22, 37, 74, 407, 814

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,551,317,814,215, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

551:19x 29

317:317

814:2x 11x 37

215:5x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 12594210328040/(1x2)

LCM = 12594210328040/2

LCM = 6297105164020

Thus, we can understand that the LCM of 412,551,317,814,215 is 6297105164020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 551, 317, 814, 215

1. What is the LCM of 412, 551, 317, 814, 215?

Answer: LCM of 412, 551, 317, 814, 215 is 6297105164020.

2. How to calculate the LCM of 412, 551, 317, 814, 215?

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 412, 551, 317, 814, 215.

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}.