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LCM of 367, 317, 882, 317

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


Find the LCM of 367, 317, 882, 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 367, 317, 882, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 367,317,882,317

Given numbers are 367,317,882,317

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

The LCM of 367,317,882,317 is 102610998.

Find LCM of 367,317,882,317 with Prime Factorization


317 367, 317, 882, 317
367, 1, 882, 1

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

317 x 367 x 1 x 882 x 1 = 102610998

Therefore, the lowest common multiple of 367,317,882,317 is 102610998.

LCM Formula to Find Lowest Common Multiple of 367,317,882,317

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.

367 x 317 x 882 x 317 = 32527686366

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.

367 : 1, 367

317 : 1, 317

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,317,882,317, is 1.

Now, the common factors can be found like this.

367:367

317:317

882:2x 3x 3x 7x 7

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.

317 = 317

Therefore, the value for common factors is 317.

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 = 32527686366/(1x317)

LCM = 32527686366/317

LCM = 102610998

Thus, we can understand that the LCM of 367,317,882,317 is 102610998.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 367, 317, 882, 317

1. What is the LCM of 367, 317, 882, 317?

Answer: LCM of 367, 317, 882, 317 is 102610998.

2. How to calculate the LCM of 367, 317, 882, 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 367, 317, 882, 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}.