Given numbers are 368,479,630,204,461

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

The LCM of 368,479,630,204,461 is 435154754160.

Find LCM of 368,479,630,204,461 with Prime Factorization

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

2 x 2 x 3 x 92 x 479 x 105 x 17 x 461 = 435154754160

Therefore, the lowest common multiple of 368,479,630,204,461 is 435154754160.

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.

368 x 479 x 630 x 204 x 461 = 10443714099840

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

479 : 1, 479

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,479,630,204,461, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

479:479

630:2x 3x 3x 5x 7

204:2x 2x 3x 17

461:461

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 = 10443714099840/(1x24)

LCM = 10443714099840/24

LCM = 435154754160

Thus, we can understand that the LCM of 368,479,630,204,461 is 435154754160.

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

• LCM of 671, 803, 673, 679, 947
• LCM of 875, 963, 414, 331, 752
• LCM of 100, 721, 187, 494, 856
• LCM of 163, 673, 851, 437, 383
• LCM of 732, 637, 801, 602, 203

1. What is the LCM of 368, 479, 630, 204, 461?

Answer: LCM of 368, 479, 630, 204, 461 is 435154754160.

2. How to calculate the LCM of 368, 479, 630, 204, 461?

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 368, 479, 630, 204, 461.

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}.