Given numbers are 990,369,204,680,305

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

The LCM of 990,369,204,680,305 is 168367320.

Find LCM of 990,369,204,680,305 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 17 x 11 x 41 x 1 x 2 x 61 = 168367320

Therefore, the lowest common multiple of 990,369,204,680,305 is 168367320.

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.

990 x 369 x 204 x 680 x 305 = 15456119976000

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.

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

369 : 1, 3, 9, 41, 123, 369

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,369,204,680,305, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

369:3x 3x 41

204:2x 2x 3x 17

680:2x 2x 2x 5x 17

305:5x 61

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 3x 3x 3x 5x 5x 17 = 91800

Therefore, the value for common factors is 91800.

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 = 15456119976000/(1x91800)

LCM = 15456119976000/91800

LCM = 168367320

Thus, we can understand that the LCM of 990,369,204,680,305 is 168367320.

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

• LCM of 538, 144, 299, 141, 773
• LCM of 440, 453, 798, 794, 108
• LCM of 185, 801, 700, 262, 975
• LCM of 153, 506, 243, 878, 572
• LCM of 642, 192, 400, 422, 298

1. What is the LCM of 990, 369, 204, 680, 305?

Answer: LCM of 990, 369, 204, 680, 305 is 168367320.

2. How to calculate the LCM of 990, 369, 204, 680, 305?

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 990, 369, 204, 680, 305.

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}.