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LCM of 590, 794, 555, 990, 810

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


Find the LCM of 590, 794, 555, 990, 810 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 590, 794, 555, 990, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,794,555,990,810

Given numbers are 590,794,555,990,810

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

The LCM of 590,794,555,990,810 is 7721860410.

Find LCM of 590,794,555,990,810 with Prime Factorization


2 590, 794, 555, 990, 810
3 295, 397, 555, 495, 405
3 295, 397, 185, 165, 135
5 295, 397, 185, 55, 45
59, 397, 37, 11, 9

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

2 x 3 x 3 x 5 x 59 x 397 x 37 x 11 x 9 = 7721860410

Therefore, the lowest common multiple of 590,794,555,990,810 is 7721860410.

LCM Formula to Find Lowest Common Multiple of 590,794,555,990,810

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.

590 x 794 x 555 x 990 x 810 = 208490231070000

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

794 : 1, 2, 397, 794

555 : 1, 3, 5, 15, 37, 111, 185, 555

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,794,555,990,810, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

794:2x 397

555:3x 5x 37

990:2x 3x 3x 5x 11

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

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

2x 2x 2x 3x 3x 3x 5x 5x 5 = 27000

Therefore, the value for common factors is 27000.

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 = 208490231070000/(1x27000)

LCM = 208490231070000/27000

LCM = 7721860410

Thus, we can understand that the LCM of 590,794,555,990,810 is 7721860410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 590, 794, 555, 990, 810

1. What is the LCM of 590, 794, 555, 990, 810?

Answer: LCM of 590, 794, 555, 990, 810 is 7721860410.

2. How to calculate the LCM of 590, 794, 555, 990, 810?

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 590, 794, 555, 990, 810.

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}.