Given numbers are 990,309,486,624,323

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

The LCM of 990,309,486,624,323 is 92485158480.

Find LCM of 990,309,486,624,323 with Prime Factorization

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

2 x 3 x 3 x 55 x 103 x 27 x 104 x 323 = 92485158480

Therefore, the lowest common multiple of 990,309,486,624,323 is 92485158480.

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 309 x 486 x 624 x 323 = 29965191347520

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

309 : 1, 3, 103, 309

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,309,486,624,323, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

309:3x 103

486:2x 3x 3x 3x 3x 3

624:2x 2x 2x 2x 3x 13

323:17x 19

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 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 29965191347520/(1x324)

LCM = 29965191347520/324

LCM = 92485158480

Thus, we can understand that the LCM of 990,309,486,624,323 is 92485158480.

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

• LCM of 793, 451, 241, 502, 336
• LCM of 139, 504, 798, 514, 996
• LCM of 436, 357, 862, 671, 504
• LCM of 989, 166, 674, 637, 466
• LCM of 598, 804, 992, 563, 583

1. What is the LCM of 990, 309, 486, 624, 323?

Answer: LCM of 990, 309, 486, 624, 323 is 92485158480.

2. How to calculate the LCM of 990, 309, 486, 624, 323?

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, 309, 486, 624, 323.

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}.