Given numbers are 306,204,217,380,415

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

The LCM of 306,204,217,380,415 is 1047159540.

Find LCM of 306,204,217,380,415 with Prime Factorization

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

2 x 2 x 3 x 5 x 17 x 1 x 3 x 217 x 19 x 83 = 1047159540

Therefore, the lowest common multiple of 306,204,217,380,415 is 1047159540.

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.

306 x 204 x 217 x 380 x 415 = 2136205461600

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

217 : 1, 7, 31, 217

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,204,217,380,415, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

204:2x 2x 3x 17

217:7x 31

380:2x 2x 5x 19

415:5x 83

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 3x 5x 17 = 2040

Therefore, the value for common factors is 2040.

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 = 2136205461600/(1x2040)

LCM = 2136205461600/2040

LCM = 1047159540

Thus, we can understand that the LCM of 306,204,217,380,415 is 1047159540.

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

• LCM of 668, 178, 883, 877, 427
• LCM of 881, 677, 500, 347, 811
• LCM of 233, 725, 806, 890, 120
• LCM of 503, 265, 346, 123, 578
• LCM of 997, 870, 594, 900, 707

1. What is the LCM of 306, 204, 217, 380, 415?

Answer: LCM of 306, 204, 217, 380, 415 is 1047159540.

2. How to calculate the LCM of 306, 204, 217, 380, 415?

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 306, 204, 217, 380, 415.

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}.