Given numbers are 442,616,204,194,272

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

The LCM of 442,616,204,194,272 is 79231152.

Find LCM of 442,616,204,194,272 with Prime Factorization

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

2 x 2 x 2 x 17 x 13 x 77 x 3 x 97 x 2 = 79231152

Therefore, the lowest common multiple of 442,616,204,194,272 is 79231152.

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.

442 x 616 x 204 x 194 x 272 = 2930918774784

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.

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

194 : 1, 2, 97, 194

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,616,204,194,272, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

616:2x 2x 2x 7x 11

204:2x 2x 3x 17

194:2x 97

272:2x 2x 2x 2x 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 2x 2x 17x 17 = 18496

Therefore, the value for common factors is 18496.

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 = 2930918774784/(2x18496)

LCM = 2930918774784/36992

LCM = 79231152

Thus, we can understand that the LCM of 442,616,204,194,272 is 79231152.

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

• LCM of 908, 405, 885, 363, 391
• LCM of 447, 313, 368, 796, 198
• LCM of 781, 182, 507, 190, 116
• LCM of 980, 113, 560, 478, 690
• LCM of 386, 390, 178, 492, 839

1. What is the LCM of 442, 616, 204, 194, 272?

Answer: LCM of 442, 616, 204, 194, 272 is 79231152.

2. How to calculate the LCM of 442, 616, 204, 194, 272?

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 442, 616, 204, 194, 272.

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}.