Given numbers are 312,214,566,990

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

The LCM of 312,214,566,990 is 1558865880.

Find LCM of 312,214,566,990 with Prime Factorization

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

2 x 3 x 52 x 107 x 283 x 165 = 1558865880

Therefore, the lowest common multiple of 312,214,566,990 is 1558865880.

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 214 x 566 x 990 = 37412781120

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

214 : 1, 2, 107, 214

566 : 1, 2, 283, 566

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,214,566,990, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

214:2x 107

566:2x 283

990:2x 3x 3x 5x 11

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 3 = 12

Therefore, the value for common factors is 12.

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 = 37412781120/(2x12)

LCM = 37412781120/24

LCM = 1558865880

Thus, we can understand that the LCM of 312,214,566,990 is 1558865880.

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

• LCM of 794, 696, 351, 253
• LCM of 286, 132, 662, 215
• LCM of 836, 424, 894, 366
• LCM of 323, 743, 716, 642
• LCM of 519, 143, 459, 102

1. What is the LCM of 312, 214, 566, 990?

Answer: LCM of 312, 214, 566, 990 is 1558865880.

2. How to calculate the LCM of 312, 214, 566, 990?

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, 214, 566, 990.

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}.