Given numbers are 330,969,447,296,660

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

The LCM of 330,969,447,296,660 is 2350522680.

Find LCM of 330,969,447,296,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 1 x 323 x 149 x 74 x 1 = 2350522680

Therefore, the lowest common multiple of 330,969,447,296,660 is 2350522680.

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 969 x 447 x 296 x 660 = 27924209438400

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

447 : 1, 3, 149, 447

296 : 1, 2, 4, 8, 37, 74, 148, 296

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,969,447,296,660, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

969:3x 17x 19

447:3x 149

296:2x 2x 2x 37

660:2x 2x 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 2x 3x 3x 3x 5x 11 = 11880

Therefore, the value for common factors is 11880.

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 = 27924209438400/(1x11880)

LCM = 27924209438400/11880

LCM = 2350522680

Thus, we can understand that the LCM of 330,969,447,296,660 is 2350522680.

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

• LCM of 400, 405, 423, 114, 626
• LCM of 893, 166, 891, 921, 199
• LCM of 318, 968, 313, 858, 975
• LCM of 687, 730, 315, 912, 211
• LCM of 263, 476, 676, 663, 740

1. What is the LCM of 330, 969, 447, 296, 660?

Answer: LCM of 330, 969, 447, 296, 660 is 2350522680.

2. How to calculate the LCM of 330, 969, 447, 296, 660?

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, 969, 447, 296, 660.

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}.