Given numbers are 330,720,809,942

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

The LCM of 330,720,809,942 is 1005942960.

Find LCM of 330,720,809,942 with Prime Factorization

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

2 x 3 x 5 x 11 x 24 x 809 x 157 = 1005942960

Therefore, the lowest common multiple of 330,720,809,942 is 1005942960.

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.

330 x 720 x 809 x 942 = 181069732800

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.

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

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

809 : 1, 809

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,720,809,942, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

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

809:809

942:2x 3x 157

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 5 = 180

Therefore, the value for common factors is 180.

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 = 181069732800/(1x180)

LCM = 181069732800/180

LCM = 1005942960

Thus, we can understand that the LCM of 330,720,809,942 is 1005942960.

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

• LCM of 694, 980, 100, 621
• LCM of 364, 919, 965, 205
• LCM of 253, 530, 528, 564
• LCM of 939, 556, 993, 371
• LCM of 887, 432, 998, 678

1. What is the LCM of 330, 720, 809, 942?

Answer: LCM of 330, 720, 809, 942 is 1005942960.

2. How to calculate the LCM of 330, 720, 809, 942?

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 330, 720, 809, 942.

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}.