Given numbers are 416,478,968,808,705

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

The LCM of 416,478,968,808,705 is 856617796320.

Find LCM of 416,478,968,808,705 with Prime Factorization

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

2 x 2 x 2 x 52 x 239 x 121 x 101 x 705 = 856617796320

Therefore, the lowest common multiple of 416,478,968,808,705 is 856617796320.

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 478 x 968 x 808 x 705 = 109647077928960

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

478 : 1, 2, 239, 478

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

808 : 1, 2, 4, 8, 101, 202, 404, 808

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,478,968,808,705, is 1.

Now, the common factors can be found like this.

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

478:2x 239

968:2x 2x 2x 11x 11

808:2x 2x 2x 101

705:3x 5x 47

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 2 = 128

Therefore, the value for common factors is 128.

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 = 109647077928960/(1x128)

LCM = 109647077928960/128

LCM = 856617796320

Thus, we can understand that the LCM of 416,478,968,808,705 is 856617796320.

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

• LCM of 213, 678, 953, 826, 667
• LCM of 254, 210, 140, 687, 706
• LCM of 233, 186, 573, 200, 608
• LCM of 314, 358, 756, 533, 748
• LCM of 194, 782, 791, 885, 421

1. What is the LCM of 416, 478, 968, 808, 705?

Answer: LCM of 416, 478, 968, 808, 705 is 856617796320.

2. How to calculate the LCM of 416, 478, 968, 808, 705?

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, 478, 968, 808, 705.

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}.