Given numbers are 330,612,704,199

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

The LCM of 330,612,704,199 is 107173440.

Find LCM of 330,612,704,199 with Prime Factorization

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

2 x 2 x 3 x 11 x 5 x 51 x 16 x 199 = 107173440

Therefore, the lowest common multiple of 330,612,704,199 is 107173440.

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 612 x 704 x 199 = 28293788160

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,612,704,199, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

612:2x 2x 3x 3x 17

704:2x 2x 2x 2x 2x 2x 11

199:199

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 11 = 264

Therefore, the value for common factors is 264.

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 = 28293788160/(1x264)

LCM = 28293788160/264

LCM = 107173440

Thus, we can understand that the LCM of 330,612,704,199 is 107173440.

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

• LCM of 734, 235, 439, 234
• LCM of 855, 629, 222, 591
• LCM of 788, 808, 210, 671
• LCM of 894, 890, 684, 728
• LCM of 959, 198, 442, 231

1. What is the LCM of 330, 612, 704, 199?

Answer: LCM of 330, 612, 704, 199 is 107173440.

2. How to calculate the LCM of 330, 612, 704, 199?

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, 612, 704, 199.

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}.