Given numbers are 990,455,649,330,204

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

The LCM of 990,455,649,330,204 is 180720540.

Find LCM of 990,455,649,330,204 with Prime Factorization

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

2 x 3 x 5 x 11 x 1 x 91 x 59 x 3 x 34 = 180720540

Therefore, the lowest common multiple of 990,455,649,330,204 is 180720540.

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 455 x 649 x 330 x 204 = 19680466806000

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

649 : 1, 11, 59, 649

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,455,649,330,204, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

455:5x 7x 13

649:11x 59

330:2x 3x 5x 11

204:2x 2x 3x 17

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 3x 3x 5x 5x 11x 11 = 108900

Therefore, the value for common factors is 108900.

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 = 19680466806000/(1x108900)

LCM = 19680466806000/108900

LCM = 180720540

Thus, we can understand that the LCM of 990,455,649,330,204 is 180720540.

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

• LCM of 131, 507, 913, 225, 514
• LCM of 482, 481, 174, 474, 217
• LCM of 777, 544, 199, 961, 582
• LCM of 653, 458, 188, 726, 271
• LCM of 212, 367, 111, 980, 426

1. What is the LCM of 990, 455, 649, 330, 204?

Answer: LCM of 990, 455, 649, 330, 204 is 180720540.

2. How to calculate the LCM of 990, 455, 649, 330, 204?

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, 455, 649, 330, 204.

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}.