Given numbers are 591,17,204

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

The LCM of 591,17,204 is 40188.

Find LCM of 591,17,204 with Prime Factorization

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

3 x 17 x 197 x 1 x 4 = 40188

Therefore, the lowest common multiple of 591,17,204 is 40188.

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.

591 x 17 x 204 = 2049588

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.

591 : 1, 3, 197, 591

17 : 1, 17

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,17,204, is 1.

Now, the common factors can be found like this.

591:3x 197

17:17

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.

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 2049588/(1x51)

LCM = 2049588/51

LCM = 40188

Thus, we can understand that the LCM of 591,17,204 is 40188.

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

• LCM of 333, 15, 399
• LCM of 407, 53, 410
• LCM of 666, 64, 348
• LCM of 279, 96, 310
• LCM of 796, 10, 535

1. What is the LCM of 591, 17, 204?

Answer: LCM of 591, 17, 204 is 40188.

2. How to calculate the LCM of 591, 17, 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 591, 17, 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}.