Given numbers are 442,121,596,546,447

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

The LCM of 442,121,596,546,447 is 334690356.

Find LCM of 442,121,596,546,447 with Prime Factorization

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

2 x 3 x 13 x 149 x 17 x 121 x 2 x 7 x 1 = 334690356

Therefore, the lowest common multiple of 442,121,596,546,447 is 334690356.

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 121 x 596 x 546 x 447 = 7779542634864

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

121 : 1, 11, 121

596 : 1, 2, 4, 149, 298, 596

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,121,596,546,447, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

121:11x 11

596:2x 2x 149

546:2x 3x 7x 13

447:3x 149

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 13x 149 = 23244

Therefore, the value for common factors is 23244.

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 = 7779542634864/(1x23244)

LCM = 7779542634864/23244

LCM = 334690356

Thus, we can understand that the LCM of 442,121,596,546,447 is 334690356.

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

• LCM of 518, 691, 517, 647, 899
• LCM of 808, 841, 399, 519, 772
• LCM of 666, 934, 127, 895, 458
• LCM of 940, 254, 363, 230, 197
• LCM of 666, 280, 267, 970, 398

1. What is the LCM of 442, 121, 596, 546, 447?

Answer: LCM of 442, 121, 596, 546, 447 is 334690356.

2. How to calculate the LCM of 442, 121, 596, 546, 447?

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, 121, 596, 546, 447.

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}.