Given numbers are 860,122,284,857,416

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

The LCM of 860,122,284,857,416 is 331971496480.

Find LCM of 860,122,284,857,416 with Prime Factorization

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

2 x 2 x 215 x 61 x 71 x 857 x 104 = 331971496480

Therefore, the lowest common multiple of 860,122,284,857,416 is 331971496480.

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.

860 x 122 x 284 x 857 x 416 = 10623087887360

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

122 : 1, 2, 61, 122

284 : 1, 2, 4, 71, 142, 284

857 : 1, 857

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,122,284,857,416, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

122:2x 61

284:2x 2x 71

857:857

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

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 2 = 32

Therefore, the value for common factors is 32.

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 = 10623087887360/(1x32)

LCM = 10623087887360/32

LCM = 331971496480

Thus, we can understand that the LCM of 860,122,284,857,416 is 331971496480.

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

• LCM of 682, 214, 208, 205, 504
• LCM of 276, 675, 560, 613, 431
• LCM of 840, 231, 674, 269, 819
• LCM of 331, 563, 510, 105, 871
• LCM of 533, 736, 686, 333, 464

1. What is the LCM of 860, 122, 284, 857, 416?

Answer: LCM of 860, 122, 284, 857, 416 is 331971496480.

2. How to calculate the LCM of 860, 122, 284, 857, 416?

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 860, 122, 284, 857, 416.

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}.