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LCM of 317, 317, 240, 997

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


Find the LCM of 317, 317, 240, 997 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 317, 317, 240, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 317,317,240,997

Given numbers are 317,317,240,997

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

The LCM of 317,317,240,997 is 75851760.

Find LCM of 317,317,240,997 with Prime Factorization


317 317, 317, 240, 997
1, 1, 240, 997

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

317 x 1 x 1 x 240 x 997 = 75851760

Therefore, the lowest common multiple of 317,317,240,997 is 75851760.

LCM Formula to Find Lowest Common Multiple of 317,317,240,997

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.

317 x 317 x 240 x 997 = 24045007920

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.

317 : 1, 317

317 : 1, 317

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,317,240,997, is 1.

Now, the common factors can be found like this.

317:317

317:317

240:2x 2x 2x 2x 3x 5

997:997

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 = 24045007920/(1x317)

LCM = 24045007920/317

LCM = 75851760

Thus, we can understand that the LCM of 317,317,240,997 is 75851760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 317, 317, 240, 997

1. What is the LCM of 317, 317, 240, 997?

Answer: LCM of 317, 317, 240, 997 is 75851760.

2. How to calculate the LCM of 317, 317, 240, 997?

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 317, 317, 240, 997.

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}.