Given numbers are 204,372,317,408,975

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

The LCM of 204,372,317,408,975 is 1303060200.

Find LCM of 204,372,317,408,975 with Prime Factorization

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

2 x 2 x 3 x 17 x 1 x 31 x 317 x 2 x 325 = 1303060200

Therefore, the lowest common multiple of 204,372,317,408,975 is 1303060200.

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.

204 x 372 x 317 x 408 x 975 = 9569674108800

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.

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

317 : 1, 317

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,372,317,408,975, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

372:2x 2x 3x 31

317:317

408:2x 2x 2x 3x 17

975:3x 5x 5x 13

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 3x 3x 3x 17 = 7344

Therefore, the value for common factors is 7344.

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 = 9569674108800/(1x7344)

LCM = 9569674108800/7344

LCM = 1303060200

Thus, we can understand that the LCM of 204,372,317,408,975 is 1303060200.

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

• LCM of 768, 350, 326, 657, 942
• LCM of 588, 492, 228, 688, 317
• LCM of 556, 935, 170, 452, 464
• LCM of 898, 751, 930, 491, 351
• LCM of 922, 196, 365, 434, 809

1. What is the LCM of 204, 372, 317, 408, 975?

Answer: LCM of 204, 372, 317, 408, 975 is 1303060200.

2. How to calculate the LCM of 204, 372, 317, 408, 975?

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 204, 372, 317, 408, 975.

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}.