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LCM of 585, 815, 641, 272

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


Find the LCM of 585, 815, 641, 272 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 585, 815, 641, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 585,815,641,272

Given numbers are 585,815,641,272

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

The LCM of 585,815,641,272 is 16625334960.

Find LCM of 585,815,641,272 with Prime Factorization


5 585, 815, 641, 272
117, 163, 641, 272

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

5 x 117 x 163 x 641 x 272 = 16625334960

Therefore, the lowest common multiple of 585,815,641,272 is 16625334960.

LCM Formula to Find Lowest Common Multiple of 585,815,641,272

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.

585 x 815 x 641 x 272 = 83126674800

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.

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

815 : 1, 5, 163, 815

641 : 1, 641

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,815,641,272, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

815:5x 163

641:641

272:2x 2x 2x 2x 17

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 = 83126674800/(1x5)

LCM = 83126674800/5

LCM = 16625334960

Thus, we can understand that the LCM of 585,815,641,272 is 16625334960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 585, 815, 641, 272

1. What is the LCM of 585, 815, 641, 272?

Answer: LCM of 585, 815, 641, 272 is 16625334960.

2. How to calculate the LCM of 585, 815, 641, 272?

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 585, 815, 641, 272.

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}.