Given numbers are 204,259,732,408

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

The LCM of 204,259,732,408 is 6445992.

Find LCM of 204,259,732,408 with Prime Factorization

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

2 x 2 x 3 x 17 x 1 x 259 x 61 x 2 = 6445992

Therefore, the lowest common multiple of 204,259,732,408 is 6445992.

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 259 x 732 x 408 = 15779788416

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

259 : 1, 7, 37, 259

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,259,732,408, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

259:7x 37

732:2x 2x 3x 61

408:2x 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 2x 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 15779788416/(1x2448)

LCM = 15779788416/2448

LCM = 6445992

Thus, we can understand that the LCM of 204,259,732,408 is 6445992.

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

• LCM of 914, 387, 187, 385
• LCM of 287, 995, 479, 232
• LCM of 923, 294, 514, 775
• LCM of 922, 587, 241, 834
• LCM of 118, 220, 701, 901

1. What is the LCM of 204, 259, 732, 408?

Answer: LCM of 204, 259, 732, 408 is 6445992.

2. How to calculate the LCM of 204, 259, 732, 408?

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, 259, 732, 408.

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}.