Given numbers are 447,966,252,687,990

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

The LCM of 447,966,252,687,990 is 10877092380.

Find LCM of 447,966,252,687,990 with Prime Factorization

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

2 x 3 x 3 x 7 x 149 x 23 x 2 x 229 x 55 = 10877092380

Therefore, the lowest common multiple of 447,966,252,687,990 is 10877092380.

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.

447 x 966 x 252 x 687 x 990 = 74007736553520

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.

447 : 1, 3, 149, 447

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

687 : 1, 3, 229, 687

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 447,966,252,687,990, is 3.

Now, the common factors can be found like this.

447:3x 149

966:2x 3x 7x 23

252:2x 2x 3x 3x 7

687:3x 229

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 2x 3x 3x 3x 3x 7 = 2268

Therefore, the value for common factors is 2268.

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 = 74007736553520/(3x2268)

LCM = 74007736553520/6804

LCM = 10877092380

Thus, we can understand that the LCM of 447,966,252,687,990 is 10877092380.

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

• LCM of 701, 222, 583, 171, 159
• LCM of 555, 182, 338, 543, 568
• LCM of 418, 548, 371, 599, 523
• LCM of 492, 222, 258, 759, 831
• LCM of 274, 303, 391, 383, 342

1. What is the LCM of 447, 966, 252, 687, 990?

Answer: LCM of 447, 966, 252, 687, 990 is 10877092380.

2. How to calculate the LCM of 447, 966, 252, 687, 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 447, 966, 252, 687, 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}.