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LCM of 794, 806, 842, 810, 486

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


Find the LCM of 794, 806, 842, 810, 486 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 794, 806, 842, 810, 486. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,806,842,810,486

Given numbers are 794,806,842,810,486

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

The LCM of 794,806,842,810,486 is 163675592730.

Find LCM of 794,806,842,810,486 with Prime Factorization


2 794, 806, 842, 810, 486
3 397, 403, 421, 405, 243
3 397, 403, 421, 135, 81
3 397, 403, 421, 45, 27
3 397, 403, 421, 15, 9
397, 403, 421, 5, 3

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

2 x 3 x 3 x 3 x 3 x 397 x 403 x 421 x 5 x 3 = 163675592730

Therefore, the lowest common multiple of 794,806,842,810,486 is 163675592730.

LCM Formula to Find Lowest Common Multiple of 794,806,842,810,486

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.

794 x 806 x 842 x 810 x 486 = 212123568178080

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.

794 : 1, 2, 397, 794

806 : 1, 2, 13, 26, 31, 62, 403, 806

842 : 1, 2, 421, 842

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,806,842,810,486, is 2.

Now, the common factors can be found like this.

794:2x 397

806:2x 13x 31

842:2x 421

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

486:2x 3x 3x 3x 3x 3

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 3 = 648

Therefore, the value for common factors is 648.

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 = 212123568178080/(2x648)

LCM = 212123568178080/1296

LCM = 163675592730

Thus, we can understand that the LCM of 794,806,842,810,486 is 163675592730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 806, 842, 810, 486

1. What is the LCM of 794, 806, 842, 810, 486?

Answer: LCM of 794, 806, 842, 810, 486 is 163675592730.

2. How to calculate the LCM of 794, 806, 842, 810, 486?

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 794, 806, 842, 810, 486.

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}.