Given numbers are 966,398,204,408

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

The LCM of 966,398,204,408 is 13071912.

Find LCM of 966,398,204,408 with Prime Factorization

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

2 x 2 x 3 x 17 x 161 x 199 x 1 x 2 = 13071912

Therefore, the lowest common multiple of 966,398,204,408 is 13071912.

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.

966 x 398 x 204 x 408 = 32000040576

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.

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

398 : 1, 2, 199, 398

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,398,204,408, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

398:2x 199

204:2x 2x 3x 17

408:2x 2x 2x 3x 17

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 17 = 1224

Therefore, the value for common factors is 1224.

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 = 32000040576/(2x1224)

LCM = 32000040576/2448

LCM = 13071912

Thus, we can understand that the LCM of 966,398,204,408 is 13071912.

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

• LCM of 583, 609, 437, 959
• LCM of 195, 581, 407, 298
• LCM of 404, 853, 145, 255
• LCM of 604, 657, 730, 950
• LCM of 796, 757, 207, 723

1. What is the LCM of 966, 398, 204, 408?

Answer: LCM of 966, 398, 204, 408 is 13071912.

2. How to calculate the LCM of 966, 398, 204, 408?

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 966, 398, 204, 408.

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}.