Given numbers are 396,405,858,936,566

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

The LCM of 396,405,858,936,566 is 131119560.

Find LCM of 396,405,858,936,566 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 13 x 1 x 45 x 1 x 2 x 283 = 131119560

Therefore, the lowest common multiple of 396,405,858,936,566 is 131119560.

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 405 x 858 x 936 x 566 = 72900377447040

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

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,405,858,936,566, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

405:3x 3x 3x 3x 5

858:2x 3x 11x 13

936:2x 2x 2x 3x 3x 13

566:2x 283

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 3x 3x 3x 3x 3x 11x 13 = 555984

Therefore, the value for common factors is 555984.

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 = 72900377447040/(1x555984)

LCM = 72900377447040/555984

LCM = 131119560

Thus, we can understand that the LCM of 396,405,858,936,566 is 131119560.

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

• LCM of 140, 854, 115, 425, 860
• LCM of 443, 174, 391, 427, 218
• LCM of 659, 862, 311, 710, 590
• LCM of 907, 890, 962, 125, 173
• LCM of 332, 938, 350, 503, 537

1. What is the LCM of 396, 405, 858, 936, 566?

Answer: LCM of 396, 405, 858, 936, 566 is 131119560.

2. How to calculate the LCM of 396, 405, 858, 936, 566?

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, 405, 858, 936, 566.

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}.