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LCM of 115, 617, 431, 585

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


Find the LCM of 115, 617, 431, 585 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 115, 617, 431, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,617,431,585

Given numbers are 115,617,431,585

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

The LCM of 115,617,431,585 is 3578047785.

Find LCM of 115,617,431,585 with Prime Factorization


5 115, 617, 431, 585
23, 617, 431, 117

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

5 x 23 x 617 x 431 x 117 = 3578047785

Therefore, the lowest common multiple of 115,617,431,585 is 3578047785.

LCM Formula to Find Lowest Common Multiple of 115,617,431,585

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.

115 x 617 x 431 x 585 = 17890238925

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.

115 : 1, 5, 23, 115

617 : 1, 617

431 : 1, 431

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,617,431,585, is 1.

Now, the common factors can be found like this.

115:5x 23

617:617

431:431

585:3x 3x 5x 13

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

5 = 5

Therefore, the value for common factors is 5.

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 = 17890238925/(1x5)

LCM = 17890238925/5

LCM = 3578047785

Thus, we can understand that the LCM of 115,617,431,585 is 3578047785.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 617, 431, 585

1. What is the LCM of 115, 617, 431, 585?

Answer: LCM of 115, 617, 431, 585 is 3578047785.

2. How to calculate the LCM of 115, 617, 431, 585?

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 115, 617, 431, 585.

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}.