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LCM of 810, 861, 671, 187, 550

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


Find the LCM of 810, 861, 671, 187, 550 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 810, 861, 671, 187, 550. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 810,861,671,187,550

Given numbers are 810,861,671,187,550

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

The LCM of 810,861,671,187,550 is 13258926450.

Find LCM of 810,861,671,187,550 with Prime Factorization


2 810, 861, 671, 187, 550
3 405, 861, 671, 187, 275
5 135, 287, 671, 187, 275
11 27, 287, 671, 187, 55
27, 287, 61, 17, 5

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

2 x 3 x 5 x 11 x 27 x 287 x 61 x 17 x 5 = 13258926450

Therefore, the lowest common multiple of 810,861,671,187,550 is 13258926450.

LCM Formula to Find Lowest Common Multiple of 810,861,671,187,550

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.

810 x 861 x 671 x 187 x 550 = 48129903013500

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

861 : 1, 3, 7, 21, 41, 123, 287, 861

671 : 1, 11, 61, 671

187 : 1, 11, 17, 187

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,861,671,187,550, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

861:3x 7x 41

671:11x 61

187:11x 17

550:2x 5x 5x 11

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

2x 3x 5x 11x 11 = 3630

Therefore, the value for common factors is 3630.

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 = 48129903013500/(1x3630)

LCM = 48129903013500/3630

LCM = 13258926450

Thus, we can understand that the LCM of 810,861,671,187,550 is 13258926450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 810, 861, 671, 187, 550

1. What is the LCM of 810, 861, 671, 187, 550?

Answer: LCM of 810, 861, 671, 187, 550 is 13258926450.

2. How to calculate the LCM of 810, 861, 671, 187, 550?

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 810, 861, 671, 187, 550.

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}.