Given numbers are 414,204,194,394,731

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

The LCM of 414,204,194,394,731 is 11566066212.

Find LCM of 414,204,194,394,731 with Prime Factorization

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

2 x 3 x 17 x 69 x 2 x 97 x 197 x 43 = 11566066212

Therefore, the lowest common multiple of 414,204,194,394,731 is 11566066212.

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.

414 x 204 x 194 x 394 x 731 = 4718955014496

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

194 : 1, 2, 97, 194

394 : 1, 2, 197, 394

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,204,194,394,731, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

204:2x 2x 3x 17

194:2x 97

394:2x 197

731:17x 43

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 17 = 408

Therefore, the value for common factors is 408.

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 = 4718955014496/(1x408)

LCM = 4718955014496/408

LCM = 11566066212

Thus, we can understand that the LCM of 414,204,194,394,731 is 11566066212.

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

• LCM of 555, 942, 435, 805, 472
• LCM of 130, 790, 285, 323, 328
• LCM of 559, 653, 928, 333, 227
• LCM of 796, 234, 708, 641, 117
• LCM of 383, 615, 968, 614, 105

1. What is the LCM of 414, 204, 194, 394, 731?

Answer: LCM of 414, 204, 194, 394, 731 is 11566066212.

2. How to calculate the LCM of 414, 204, 194, 394, 731?

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 414, 204, 194, 394, 731.

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}.