Given numbers are 260,381,456,660,204

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

The LCM of 260,381,456,660,204 is 703920360.

Find LCM of 260,381,456,660,204 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 127 x 38 x 11 x 17 = 703920360

Therefore, the lowest common multiple of 260,381,456,660,204 is 703920360.

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.

260 x 381 x 456 x 660 x 204 = 6081871910400

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

381 : 1, 3, 127, 381

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,381,456,660,204, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

381:3x 127

456:2x 2x 2x 3x 19

660:2x 2x 3x 5x 11

204:2x 2x 3x 17

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 3x 3x 3x 5 = 8640

Therefore, the value for common factors is 8640.

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 = 6081871910400/(1x8640)

LCM = 6081871910400/8640

LCM = 703920360

Thus, we can understand that the LCM of 260,381,456,660,204 is 703920360.

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

• LCM of 562, 545, 587, 105, 324
• LCM of 422, 317, 365, 936, 953
• LCM of 820, 779, 147, 758, 138
• LCM of 222, 460, 754, 575, 972
• LCM of 661, 250, 799, 113, 724

1. What is the LCM of 260, 381, 456, 660, 204?

Answer: LCM of 260, 381, 456, 660, 204 is 703920360.

2. How to calculate the LCM of 260, 381, 456, 660, 204?

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 260, 381, 456, 660, 204.

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}.