Given numbers are 146,922,394,204,268

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

The LCM of 146,922,394,204,268 is 90613933188.

Find LCM of 146,922,394,204,268 with Prime Factorization

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

2 x 2 x 73 x 461 x 197 x 51 x 67 = 90613933188

Therefore, the lowest common multiple of 146,922,394,204,268 is 90613933188.

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.

146 x 922 x 394 x 204 x 268 = 2899645862016

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.

146 : 1, 2, 73, 146

922 : 1, 2, 461, 922

394 : 1, 2, 197, 394

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

268 : 1, 2, 4, 67, 134, 268

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,922,394,204,268, is 2.

Now, the common factors can be found like this.

146:2x 73

922:2x 461

394:2x 197

204:2x 2x 3x 17

268:2x 2x 67

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 2 = 16

Therefore, the value for common factors is 16.

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 = 2899645862016/(2x16)

LCM = 2899645862016/32

LCM = 90613933188

Thus, we can understand that the LCM of 146,922,394,204,268 is 90613933188.

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

• LCM of 529, 499, 412, 110, 624
• LCM of 151, 905, 864, 793, 826
• LCM of 949, 488, 213, 446, 910
• LCM of 192, 819, 927, 894, 541
• LCM of 731, 577, 438, 317, 677

1. What is the LCM of 146, 922, 394, 204, 268?

Answer: LCM of 146, 922, 394, 204, 268 is 90613933188.

2. How to calculate the LCM of 146, 922, 394, 204, 268?

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 146, 922, 394, 204, 268.

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}.