Given numbers are 204,448,106,442,853

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

The LCM of 204,448,106,442,853 is 13428158016.

Find LCM of 204,448,106,442,853 with Prime Factorization

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

2 x 2 x 17 x 3 x 112 x 53 x 13 x 853 = 13428158016

Therefore, the lowest common multiple of 204,448,106,442,853 is 13428158016.

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 448 x 106 x 442 x 853 = 3652458980352

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

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

106 : 1, 2, 53, 106

442 : 1, 2, 13, 17, 26, 34, 221, 442

853 : 1, 853

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,448,106,442,853, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

448:2x 2x 2x 2x 2x 2x 7

106:2x 53

442:2x 13x 17

853:853

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 17 = 272

Therefore, the value for common factors is 272.

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 = 3652458980352/(1x272)

LCM = 3652458980352/272

LCM = 13428158016

Thus, we can understand that the LCM of 204,448,106,442,853 is 13428158016.

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

• LCM of 822, 147, 400, 590, 215
• LCM of 566, 432, 406, 233, 385
• LCM of 111, 885, 656, 913, 468
• LCM of 680, 747, 601, 477, 994
• LCM of 816, 802, 450, 600, 576

1. What is the LCM of 204, 448, 106, 442, 853?

Answer: LCM of 204, 448, 106, 442, 853 is 13428158016.

2. How to calculate the LCM of 204, 448, 106, 442, 853?

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, 448, 106, 442, 853.

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}.