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LCM of 810, 502, 792, 682

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


Find the LCM of 810, 502, 792, 682 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, 502, 792, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 810,502,792,682

Given numbers are 810,502,792,682

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

The LCM of 810,502,792,682 is 277314840.

Find LCM of 810,502,792,682 with Prime Factorization


2 810, 502, 792, 682
3 405, 251, 396, 341
3 135, 251, 132, 341
11 45, 251, 44, 341
45, 251, 4, 31

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

2 x 3 x 3 x 11 x 45 x 251 x 4 x 31 = 277314840

Therefore, the lowest common multiple of 810,502,792,682 is 277314840.

LCM Formula to Find Lowest Common Multiple of 810,502,792,682

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 502 x 792 x 682 = 219633353280

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

502 : 1, 2, 251, 502

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

682 : 1, 2, 11, 22, 31, 62, 341, 682

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,502,792,682, is 2.

Now, the common factors can be found like this.

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

502:2x 251

792:2x 2x 2x 3x 3x 11

682:2x 11x 31

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 219633353280/(2x396)

LCM = 219633353280/792

LCM = 277314840

Thus, we can understand that the LCM of 810,502,792,682 is 277314840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 810, 502, 792, 682

1. What is the LCM of 810, 502, 792, 682?

Answer: LCM of 810, 502, 792, 682 is 277314840.

2. How to calculate the LCM of 810, 502, 792, 682?

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, 502, 792, 682.

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}.