Given numbers are 312,486,815,302,627

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

The LCM of 312,486,815,302,627 is 650010624120.

Find LCM of 312,486,815,302,627 with Prime Factorization

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

2 x 3 x 52 x 81 x 815 x 151 x 209 = 650010624120

Therefore, the lowest common multiple of 312,486,815,302,627 is 650010624120.

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.

312 x 486 x 815 x 302 x 627 = 23400382468320

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

815 : 1, 5, 163, 815

302 : 1, 2, 151, 302

627 : 1, 3, 11, 19, 33, 57, 209, 627

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,486,815,302,627, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

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

815:5x 163

302:2x 151

627:3x 11x 19

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 3 = 36

Therefore, the value for common factors is 36.

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 = 23400382468320/(1x36)

LCM = 23400382468320/36

LCM = 650010624120

Thus, we can understand that the LCM of 312,486,815,302,627 is 650010624120.

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

• LCM of 434, 406, 148, 606, 255
• LCM of 542, 381, 677, 344, 330
• LCM of 265, 793, 426, 880, 137
• LCM of 769, 926, 402, 220, 832
• LCM of 375, 451, 626, 365, 192

1. What is the LCM of 312, 486, 815, 302, 627?

Answer: LCM of 312, 486, 815, 302, 627 is 650010624120.

2. How to calculate the LCM of 312, 486, 815, 302, 627?

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 312, 486, 815, 302, 627.

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}.