Given numbers are 810,104,132,461

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

The LCM of 810,104,132,461 is 213590520.

Find LCM of 810,104,132,461 with Prime Factorization

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

2 x 2 x 3 x 135 x 26 x 11 x 461 = 213590520

Therefore, the lowest common multiple of 810,104,132,461 is 213590520.

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 104 x 132 x 461 = 5126172480

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,104,132,461, is 1.

Now, the common factors can be found like this.

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

104:2x 2x 2x 13

132:2x 2x 3x 11

461:461

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5126172480/(1x24)

LCM = 5126172480/24

LCM = 213590520

Thus, we can understand that the LCM of 810,104,132,461 is 213590520.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 280, 298, 634, 994
• LCM of 342, 672, 703, 184
• LCM of 494, 836, 310, 667
• LCM of 925, 657, 558, 771
• LCM of 883, 154, 838, 186

1. What is the LCM of 810, 104, 132, 461?

Answer: LCM of 810, 104, 132, 461 is 213590520.

2. How to calculate the LCM of 810, 104, 132, 461?

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, 104, 132, 461.

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}.