Given numbers are 406,494,264,478,270

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

The LCM of 406,494,264,478,270 is 142366344120.

Find LCM of 406,494,264,478,270 with Prime Factorization

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

2 x 3 x 203 x 247 x 44 x 239 x 45 = 142366344120

Therefore, the lowest common multiple of 406,494,264,478,270 is 142366344120.

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.

406 x 494 x 264 x 478 x 270 = 6833584517760

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

494 : 1, 2, 13, 19, 26, 38, 247, 494

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

478 : 1, 2, 239, 478

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,494,264,478,270, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

494:2x 13x 19

264:2x 2x 2x 3x 11

478:2x 239

270:2x 3x 3x 3x 5

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 = 6833584517760/(2x24)

LCM = 6833584517760/48

LCM = 142366344120

Thus, we can understand that the LCM of 406,494,264,478,270 is 142366344120.

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

• LCM of 581, 400, 574, 853, 246
• LCM of 709, 540, 677, 824, 105
• LCM of 275, 584, 723, 540, 487
• LCM of 407, 341, 747, 252, 660
• LCM of 487, 681, 655, 484, 854

1. What is the LCM of 406, 494, 264, 478, 270?

Answer: LCM of 406, 494, 264, 478, 270 is 142366344120.

2. How to calculate the LCM of 406, 494, 264, 478, 270?

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 406, 494, 264, 478, 270.

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}.