Given numbers are 416,129,208,792,496

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

The LCM of 416,129,208,792,496 is 54898272.

Find LCM of 416,129,208,792,496 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 1 x 43 x 2 x 33 x 31 = 54898272

Therefore, the lowest common multiple of 416,129,208,792,496 is 54898272.

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.

416 x 129 x 208 x 792 x 496 = 4384834781184

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.

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

129 : 1, 3, 43, 129

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,129,208,792,496, is 1.

Now, the common factors can be found like this.

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

129:3x 43

208:2x 2x 2x 2x 13

792:2x 2x 2x 3x 3x 11

496:2x 2x 2x 2x 31

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 2x 2x 2x 2x 3x 13 = 79872

Therefore, the value for common factors is 79872.

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 = 4384834781184/(1x79872)

LCM = 4384834781184/79872

LCM = 54898272

Thus, we can understand that the LCM of 416,129,208,792,496 is 54898272.

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

• LCM of 610, 111, 980, 123, 856
• LCM of 332, 508, 528, 508, 753
• LCM of 352, 719, 919, 131, 193
• LCM of 397, 468, 105, 826, 313
• LCM of 627, 476, 494, 256, 473

1. What is the LCM of 416, 129, 208, 792, 496?

Answer: LCM of 416, 129, 208, 792, 496 is 54898272.

2. How to calculate the LCM of 416, 129, 208, 792, 496?

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 416, 129, 208, 792, 496.

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}.