Given numbers are 321,816,579,171,405

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

The LCM of 321,816,579,171,405 is 43223369040.

Find LCM of 321,816,579,171,405 with Prime Factorization

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

3 x 3 x 107 x 272 x 193 x 19 x 45 = 43223369040

Therefore, the lowest common multiple of 321,816,579,171,405 is 43223369040.

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.

321 x 816 x 579 x 171 x 405 = 10503278676720

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.

321 : 1, 3, 107, 321

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

579 : 1, 3, 193, 579

171 : 1, 3, 9, 19, 57, 171

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,816,579,171,405, is 3.

Now, the common factors can be found like this.

321:3x 107

816:2x 2x 2x 2x 3x 17

579:3x 193

171:3x 3x 19

405:3x 3x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 10503278676720/(3x81)

LCM = 10503278676720/243

LCM = 43223369040

Thus, we can understand that the LCM of 321,816,579,171,405 is 43223369040.

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

• LCM of 368, 137, 736, 850, 958
• LCM of 450, 976, 681, 332, 898
• LCM of 407, 940, 791, 495, 784
• LCM of 139, 620, 254, 979, 456
• LCM of 550, 964, 444, 984, 345

1. What is the LCM of 321, 816, 579, 171, 405?

Answer: LCM of 321, 816, 579, 171, 405 is 43223369040.

2. How to calculate the LCM of 321, 816, 579, 171, 405?

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 321, 816, 579, 171, 405.

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}.