Given numbers are 312,990,963,204

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

The LCM of 312,990,963,204 is 93642120.

Find LCM of 312,990,963,204 with Prime Factorization

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

2 x 2 x 3 x 3 x 26 x 55 x 107 x 17 = 93642120

Therefore, the lowest common multiple of 312,990,963,204 is 93642120.

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.

312 x 990 x 963 x 204 = 60680093760

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

963 : 1, 3, 9, 107, 321, 963

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,990,963,204, is 3.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

990:2x 3x 3x 5x 11

963:3x 3x 107

204:2x 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 3 = 216

Therefore, the value for common factors is 216.

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 = 60680093760/(3x216)

LCM = 60680093760/648

LCM = 93642120

Thus, we can understand that the LCM of 312,990,963,204 is 93642120.

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

• LCM of 793, 550, 115, 115
• LCM of 294, 385, 498, 310
• LCM of 839, 935, 905, 321
• LCM of 925, 364, 488, 248
• LCM of 828, 920, 661, 260

1. What is the LCM of 312, 990, 963, 204?

Answer: LCM of 312, 990, 963, 204 is 93642120.

2. How to calculate the LCM of 312, 990, 963, 204?

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 312, 990, 963, 204.

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}.