Given numbers are 642,382,108,146

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

The LCM of 642,382,108,146 is 161125308.

Find LCM of 642,382,108,146 with Prime Factorization

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

2 x 3 x 107 x 191 x 18 x 73 = 161125308

Therefore, the lowest common multiple of 642,382,108,146 is 161125308.

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.

642 x 382 x 108 x 146 = 3867007392

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

382 : 1, 2, 191, 382

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

146 : 1, 2, 73, 146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,382,108,146, is 2.

Now, the common factors can be found like this.

642:2x 3x 107

382:2x 191

108:2x 2x 3x 3x 3

146:2x 73

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3867007392/(2x12)

LCM = 3867007392/24

LCM = 161125308

Thus, we can understand that the LCM of 642,382,108,146 is 161125308.

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

• LCM of 967, 446, 159, 689
• LCM of 915, 725, 334, 147
• LCM of 958, 680, 879, 680
• LCM of 875, 334, 636, 757
• LCM of 846, 120, 931, 773

1. What is the LCM of 642, 382, 108, 146?

Answer: LCM of 642, 382, 108, 146 is 161125308.

2. How to calculate the LCM of 642, 382, 108, 146?

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 642, 382, 108, 146.

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}.