Given numbers are 106,370,192,758,171

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

The LCM of 106,370,192,758,171 is 40668943680.

Find LCM of 106,370,192,758,171 with Prime Factorization

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

2 x 3 x 53 x 185 x 32 x 379 x 57 = 40668943680

Therefore, the lowest common multiple of 106,370,192,758,171 is 40668943680.

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.

106 x 370 x 192 x 758 x 171 = 976054648320

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.

106 : 1, 2, 53, 106

370 : 1, 2, 5, 10, 37, 74, 185, 370

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

758 : 1, 2, 379, 758

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,370,192,758,171, is 1.

Now, the common factors can be found like this.

106:2x 53

370:2x 5x 37

192:2x 2x 2x 2x 2x 2x 3

758:2x 379

171:3x 3x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 976054648320/(1x24)

LCM = 976054648320/24

LCM = 40668943680

Thus, we can understand that the LCM of 106,370,192,758,171 is 40668943680.

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

• LCM of 231, 766, 994, 155, 547
• LCM of 835, 592, 651, 477, 999
• LCM of 457, 902, 739, 217, 582
• LCM of 910, 354, 462, 892, 804
• LCM of 864, 404, 859, 741, 759

1. What is the LCM of 106, 370, 192, 758, 171?

Answer: LCM of 106, 370, 192, 758, 171 is 40668943680.

2. How to calculate the LCM of 106, 370, 192, 758, 171?

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 106, 370, 192, 758, 171.

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}.