Given numbers are 284,221,323,352,808

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

The LCM of 284,221,323,352,808 is 10599082208.

Find LCM of 284,221,323,352,808 with Prime Factorization

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

2 x 2 x 2 x 17 x 71 x 13 x 19 x 44 x 101 = 10599082208

Therefore, the lowest common multiple of 284,221,323,352,808 is 10599082208.

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.

284 x 221 x 323 x 352 x 808 = 5765900721152

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.

284 : 1, 2, 4, 71, 142, 284

221 : 1, 13, 17, 221

323 : 1, 17, 19, 323

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,221,323,352,808, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

221:13x 17

323:17x 19

352:2x 2x 2x 2x 2x 11

808:2x 2x 2x 101

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 17 = 544

Therefore, the value for common factors is 544.

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 = 5765900721152/(1x544)

LCM = 5765900721152/544

LCM = 10599082208

Thus, we can understand that the LCM of 284,221,323,352,808 is 10599082208.

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

• LCM of 586, 200, 123, 588, 554
• LCM of 506, 206, 262, 870, 803
• LCM of 763, 311, 537, 854, 296
• LCM of 660, 980, 912, 641, 543
• LCM of 120, 259, 557, 433, 941

1. What is the LCM of 284, 221, 323, 352, 808?

Answer: LCM of 284, 221, 323, 352, 808 is 10599082208.

2. How to calculate the LCM of 284, 221, 323, 352, 808?

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 284, 221, 323, 352, 808.

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}.