Given numbers are 381,720,663,966

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

The LCM of 381,720,663,966 is 3253526640.

Find LCM of 381,720,663,966 with Prime Factorization

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

2 x 3 x 127 x 120 x 221 x 161 = 3253526640

Therefore, the lowest common multiple of 381,720,663,966 is 3253526640.

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.

381 x 720 x 663 x 966 = 175690438560

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.

381 : 1, 3, 127, 381

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

663 : 1, 3, 13, 17, 39, 51, 221, 663

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,720,663,966, is 3.

Now, the common factors can be found like this.

381:3x 127

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

663:3x 13x 17

966:2x 3x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 175690438560/(3x18)

LCM = 175690438560/54

LCM = 3253526640

Thus, we can understand that the LCM of 381,720,663,966 is 3253526640.

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

• LCM of 938, 710, 985, 875
• LCM of 651, 613, 257, 477
• LCM of 752, 655, 468, 588
• LCM of 123, 316, 574, 949
• LCM of 263, 176, 948, 602

1. What is the LCM of 381, 720, 663, 966?

Answer: LCM of 381, 720, 663, 966 is 3253526640.

2. How to calculate the LCM of 381, 720, 663, 966?

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 381, 720, 663, 966.

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}.