Given numbers are 312,204,624,398

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

The LCM of 312,204,624,398 is 2110992.

Find LCM of 312,204,624,398 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 17 x 2 x 199 = 2110992

Therefore, the lowest common multiple of 312,204,624,398 is 2110992.

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 204 x 624 x 398 = 15807108096

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

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

398 : 1, 2, 199, 398

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,204,624,398, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

204:2x 2x 3x 17

624:2x 2x 2x 2x 3x 13

398:2x 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 2x 2x 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 15807108096/(2x3744)

LCM = 15807108096/7488

LCM = 2110992

Thus, we can understand that the LCM of 312,204,624,398 is 2110992.

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

• LCM of 856, 679, 193, 515
• LCM of 341, 215, 105, 389
• LCM of 728, 928, 584, 525
• LCM of 715, 903, 972, 996
• LCM of 637, 561, 103, 100

1. What is the LCM of 312, 204, 624, 398?

Answer: LCM of 312, 204, 624, 398 is 2110992.

2. How to calculate the LCM of 312, 204, 624, 398?

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, 204, 624, 398.

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}.