Given numbers are 990,327,213,453,680

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

The LCM of 990,327,213,453,680 is 78669411480.

Find LCM of 990,327,213,453,680 with Prime Factorization

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

2 x 3 x 5 x 33 x 109 x 71 x 151 x 68 = 78669411480

Therefore, the lowest common multiple of 990,327,213,453,680 is 78669411480.

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 327 x 213 x 453 x 680 = 21240741099600

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

327 : 1, 3, 109, 327

213 : 1, 3, 71, 213

453 : 1, 3, 151, 453

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,327,213,453,680, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

327:3x 109

213:3x 71

453:3x 151

680:2x 2x 2x 5x 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 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 21240741099600/(1x270)

LCM = 21240741099600/270

LCM = 78669411480

Thus, we can understand that the LCM of 990,327,213,453,680 is 78669411480.

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

• LCM of 634, 209, 928, 335, 322
• LCM of 123, 537, 278, 152, 406
• LCM of 173, 452, 843, 957, 119
• LCM of 144, 884, 151, 525, 123
• LCM of 321, 366, 840, 125, 907

1. What is the LCM of 990, 327, 213, 453, 680?

Answer: LCM of 990, 327, 213, 453, 680 is 78669411480.

2. How to calculate the LCM of 990, 327, 213, 453, 680?

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, 327, 213, 453, 680.

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}.