Given numbers are 857,671,486,106,742

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

The LCM of 857,671,486,106,742 is 103684424382.

Find LCM of 857,671,486,106,742 with Prime Factorization

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

2 x 53 x 857 x 671 x 243 x 1 x 7 = 103684424382

Therefore, the lowest common multiple of 857,671,486,106,742 is 103684424382.

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.

857 x 671 x 486 x 106 x 742 = 21981097968984

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.

857 : 1, 857

671 : 1, 11, 61, 671

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

106 : 1, 2, 53, 106

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,671,486,106,742, is 1.

Now, the common factors can be found like this.

857:857

671:11x 61

486:2x 3x 3x 3x 3x 3

106:2x 53

742:2x 7x 53

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 53 = 212

Therefore, the value for common factors is 212.

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 = 21981097968984/(1x212)

LCM = 21981097968984/212

LCM = 103684424382

Thus, we can understand that the LCM of 857,671,486,106,742 is 103684424382.

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

• LCM of 790, 144, 182, 271, 712
• LCM of 443, 164, 265, 384, 154
• LCM of 762, 407, 487, 142, 486
• LCM of 459, 753, 152, 742, 848
• LCM of 545, 951, 884, 346, 581

1. What is the LCM of 857, 671, 486, 106, 742?

Answer: LCM of 857, 671, 486, 106, 742 is 103684424382.

2. How to calculate the LCM of 857, 671, 486, 106, 742?

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 857, 671, 486, 106, 742.

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}.