Given numbers are 660,270,808,312,596

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

The LCM of 660,270,808,312,596 is 2324167560.

Find LCM of 660,270,808,312,596 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 9 x 101 x 13 x 149 = 2324167560

Therefore, the lowest common multiple of 660,270,808,312,596 is 2324167560.

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.

660 x 270 x 808 x 312 x 596 = 26774410291200

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

808 : 1, 2, 4, 8, 101, 202, 404, 808

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

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,270,808,312,596, is 2.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

270:2x 3x 3x 3x 5

808:2x 2x 2x 101

312:2x 2x 2x 3x 13

596:2x 2x 149

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 2x 2x 2x 2x 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 26774410291200/(2x5760)

LCM = 26774410291200/11520

LCM = 2324167560

Thus, we can understand that the LCM of 660,270,808,312,596 is 2324167560.

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

• LCM of 427, 379, 690, 311, 796
• LCM of 786, 237, 578, 128, 718
• LCM of 473, 780, 684, 197, 498
• LCM of 134, 107, 226, 527, 282
• LCM of 990, 783, 882, 317, 761

1. What is the LCM of 660, 270, 808, 312, 596?

Answer: LCM of 660, 270, 808, 312, 596 is 2324167560.

2. How to calculate the LCM of 660, 270, 808, 312, 596?

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 660, 270, 808, 312, 596.

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}.