Given numbers are 460,816,284,396,959

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

The LCM of 460,816,284,396,959 is 210852568080.

Find LCM of 460,816,284,396,959 with Prime Factorization

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

2 x 2 x 3 x 115 x 68 x 71 x 33 x 959 = 210852568080

Therefore, the lowest common multiple of 460,816,284,396,959 is 210852568080.

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.

460 x 816 x 284 x 396 x 959 = 40483693071360

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

284 : 1, 2, 4, 71, 142, 284

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,816,284,396,959, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

816:2x 2x 2x 2x 3x 17

284:2x 2x 71

396:2x 2x 3x 3x 11

959:7x 137

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 3 = 192

Therefore, the value for common factors is 192.

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 = 40483693071360/(1x192)

LCM = 40483693071360/192

LCM = 210852568080

Thus, we can understand that the LCM of 460,816,284,396,959 is 210852568080.

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

• LCM of 119, 657, 199, 942, 157
• LCM of 684, 787, 428, 814, 951
• LCM of 694, 420, 523, 212, 302
• LCM of 729, 217, 887, 153, 818
• LCM of 597, 603, 734, 995, 214

1. What is the LCM of 460, 816, 284, 396, 959?

Answer: LCM of 460, 816, 284, 396, 959 is 210852568080.

2. How to calculate the LCM of 460, 816, 284, 396, 959?

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 460, 816, 284, 396, 959.

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}.