Given numbers are 351,720,446,990

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

The LCM of 351,720,446,990 is 68880240.

Find LCM of 351,720,446,990 with Prime Factorization

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

2 x 3 x 3 x 5 x 39 x 8 x 223 x 11 = 68880240

Therefore, the lowest common multiple of 351,720,446,990 is 68880240.

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.

351 x 720 x 446 x 990 = 111585988800

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

446 : 1, 2, 223, 446

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,720,446,990, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

720:2x 2x 2x 2x 3x 3x 5

446:2x 223

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 5 = 1620

Therefore, the value for common factors is 1620.

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 = 111585988800/(1x1620)

LCM = 111585988800/1620

LCM = 68880240

Thus, we can understand that the LCM of 351,720,446,990 is 68880240.

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

• LCM of 815, 123, 227, 167
• LCM of 420, 247, 574, 128
• LCM of 418, 122, 681, 140
• LCM of 211, 575, 919, 766
• LCM of 651, 836, 999, 280

1. What is the LCM of 351, 720, 446, 990?

Answer: LCM of 351, 720, 446, 990 is 68880240.

2. How to calculate the LCM of 351, 720, 446, 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 351, 720, 446, 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}.