Given numbers are 476,832,416,149

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

The LCM of 476,832,416,149 is 14752192.

Find LCM of 476,832,416,149 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 13 x 119 x 1 x 2 x 149 = 14752192

Therefore, the lowest common multiple of 476,832,416,149 is 14752192.

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.

476 x 832 x 416 x 149 = 24547647488

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,832,416,149, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

832:2x 2x 2x 2x 2x 2x 13

416:2x 2x 2x 2x 2x 13

149:149

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 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 24547647488/(1x1664)

LCM = 24547647488/1664

LCM = 14752192

Thus, we can understand that the LCM of 476,832,416,149 is 14752192.

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

• LCM of 220, 574, 743, 345
• LCM of 217, 864, 930, 902
• LCM of 907, 194, 781, 328
• LCM of 995, 802, 823, 354
• LCM of 197, 820, 712, 974

1. What is the LCM of 476, 832, 416, 149?

Answer: LCM of 476, 832, 416, 149 is 14752192.

2. How to calculate the LCM of 476, 832, 416, 149?

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 476, 832, 416, 149.

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}.