Given numbers are 366,461,792,986,494

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

The LCM of 366,461,792,986,494 is 2712063254472.

Find LCM of 366,461,792,986,494 with Prime Factorization

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

2 x 3 x 61 x 461 x 132 x 493 x 247 = 2712063254472

Therefore, the lowest common multiple of 366,461,792,986,494 is 2712063254472.

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.

366 x 461 x 792 x 986 x 494 = 65089518107328

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

461 : 1, 461

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,461,792,986,494, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

461:461

792:2x 2x 2x 3x 3x 11

986:2x 17x 29

494:2x 13x 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 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 = 65089518107328/(1x24)

LCM = 65089518107328/24

LCM = 2712063254472

Thus, we can understand that the LCM of 366,461,792,986,494 is 2712063254472.

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

• LCM of 221, 110, 484, 969, 620
• LCM of 575, 138, 541, 312, 549
• LCM of 185, 587, 521, 668, 292
• LCM of 765, 109, 536, 915, 472
• LCM of 950, 159, 894, 448, 811

1. What is the LCM of 366, 461, 792, 986, 494?

Answer: LCM of 366, 461, 792, 986, 494 is 2712063254472.

2. How to calculate the LCM of 366, 461, 792, 986, 494?

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 366, 461, 792, 986, 494.

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}.