Given numbers are 204,974,252,432,717

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

The LCM of 204,974,252,432,717 is 5983531344.

Find LCM of 204,974,252,432,717 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 487 x 7 x 12 x 239 = 5983531344

Therefore, the lowest common multiple of 204,974,252,432,717 is 5983531344.

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 974 x 252 x 432 x 717 = 15509313243648

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

974 : 1, 2, 487, 974

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,974,252,432,717, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

974:2x 487

252:2x 2x 3x 3x 7

432:2x 2x 2x 2x 3x 3x 3

717:3x 239

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 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 15509313243648/(1x2592)

LCM = 15509313243648/2592

LCM = 5983531344

Thus, we can understand that the LCM of 204,974,252,432,717 is 5983531344.

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

• LCM of 828, 249, 371, 158, 634
• LCM of 111, 822, 294, 229, 831
• LCM of 951, 424, 259, 802, 234
• LCM of 932, 837, 911, 358, 713
• LCM of 172, 499, 754, 555, 601

1. What is the LCM of 204, 974, 252, 432, 717?

Answer: LCM of 204, 974, 252, 432, 717 is 5983531344.

2. How to calculate the LCM of 204, 974, 252, 432, 717?

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, 974, 252, 432, 717.

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}.