Given numbers are 396,858,382,408

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

The LCM of 396,858,382,408 is 33431112.

Find LCM of 396,858,382,408 with Prime Factorization

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

2 x 2 x 3 x 11 x 3 x 13 x 191 x 34 = 33431112

Therefore, the lowest common multiple of 396,858,382,408 is 33431112.

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.

396 x 858 x 382 x 408 = 52954881408

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

382 : 1, 2, 191, 382

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,858,382,408, is 2.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

858:2x 3x 11x 13

382:2x 191

408:2x 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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 52954881408/(2x792)

LCM = 52954881408/1584

LCM = 33431112

Thus, we can understand that the LCM of 396,858,382,408 is 33431112.

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

• LCM of 185, 281, 914, 839
• LCM of 874, 988, 525, 450
• LCM of 311, 663, 674, 868
• LCM of 182, 627, 544, 879
• LCM of 799, 356, 998, 585

1. What is the LCM of 396, 858, 382, 408?

Answer: LCM of 396, 858, 382, 408 is 33431112.

2. How to calculate the LCM of 396, 858, 382, 408?

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 396, 858, 382, 408.

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}.