Given numbers are 966,459,417,250,204

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

The LCM of 966,459,417,250,204 is 5135980500.

Find LCM of 966,459,417,250,204 with Prime Factorization

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

2 x 3 x 17 x 161 x 9 x 139 x 125 x 2 = 5135980500

Therefore, the lowest common multiple of 966,459,417,250,204 is 5135980500.

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.

966 x 459 x 417 x 250 x 204 = 9429660198000

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

459 : 1, 3, 9, 17, 27, 51, 153, 459

417 : 1, 3, 139, 417

250 : 1, 2, 5, 10, 25, 50, 125, 250

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 966,459,417,250,204, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

459:3x 3x 3x 17

417:3x 139

250:2x 5x 5x 5

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.

2x 2x 3x 3x 3x 17 = 1836

Therefore, the value for common factors is 1836.

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 = 9429660198000/(1x1836)

LCM = 9429660198000/1836

LCM = 5135980500

Thus, we can understand that the LCM of 966,459,417,250,204 is 5135980500.

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

• LCM of 267, 613, 455, 963, 725
• LCM of 467, 324, 619, 789, 811
• LCM of 560, 784, 193, 105, 429
• LCM of 135, 137, 434, 892, 247
• LCM of 831, 535, 275, 257, 399

1. What is the LCM of 966, 459, 417, 250, 204?

Answer: LCM of 966, 459, 417, 250, 204 is 5135980500.

2. How to calculate the LCM of 966, 459, 417, 250, 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 966, 459, 417, 250, 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}.