Given numbers are 204,213,609,990

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

The LCM of 204,213,609,990 is 485141580.

Find LCM of 204,213,609,990 with Prime Factorization

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

2 x 3 x 34 x 71 x 203 x 165 = 485141580

Therefore, the lowest common multiple of 204,213,609,990 is 485141580.

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.

204 x 213 x 609 x 990 = 26197645320

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.

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

213 : 1, 3, 71, 213

609 : 1, 3, 7, 21, 29, 87, 203, 609

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,213,609,990, is 3.

Now, the common factors can be found like this.

204:2x 2x 3x 17

213:3x 71

609:3x 7x 29

990:2x 3x 3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 26197645320/(3x18)

LCM = 26197645320/54

LCM = 485141580

Thus, we can understand that the LCM of 204,213,609,990 is 485141580.

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

• LCM of 308, 348, 693, 705
• LCM of 684, 538, 997, 433
• LCM of 132, 514, 476, 432
• LCM of 711, 445, 709, 800
• LCM of 943, 845, 996, 459

1. What is the LCM of 204, 213, 609, 990?

Answer: LCM of 204, 213, 609, 990 is 485141580.

2. How to calculate the LCM of 204, 213, 609, 990?

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 204, 213, 609, 990.

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}.