Given numbers are 460,594,739,204,916

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

The LCM of 460,594,739,204,916 is 393045766740.

Find LCM of 460,594,739,204,916 with Prime Factorization

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

2 x 2 x 3 x 115 x 99 x 739 x 17 x 229 = 393045766740

Therefore, the lowest common multiple of 460,594,739,204,916 is 393045766740.

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 594 x 739 x 204 x 916 = 37732393607040

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

739 : 1, 739

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,594,739,204,916, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

594:2x 3x 3x 3x 11

739:739

204:2x 2x 3x 17

916:2x 2x 229

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 3 = 96

Therefore, the value for common factors is 96.

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 = 37732393607040/(1x96)

LCM = 37732393607040/96

LCM = 393045766740

Thus, we can understand that the LCM of 460,594,739,204,916 is 393045766740.

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

• LCM of 527, 556, 579, 340, 303
• LCM of 756, 100, 736, 552, 272
• LCM of 866, 977, 806, 980, 265
• LCM of 176, 642, 675, 713, 726
• LCM of 410, 878, 310, 290, 692

1. What is the LCM of 460, 594, 739, 204, 916?

Answer: LCM of 460, 594, 739, 204, 916 is 393045766740.

2. How to calculate the LCM of 460, 594, 739, 204, 916?

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, 594, 739, 204, 916.

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}.