Given numbers are 396,311,858,330,873

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

The LCM of 396,311,858,330,873 is 776498580.

Find LCM of 396,311,858,330,873 with Prime Factorization

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

2 x 3 x 3 x 11 x 2 x 311 x 13 x 5 x 97 = 776498580

Therefore, the lowest common multiple of 396,311,858,330,873 is 776498580.

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.

396 x 311 x 858 x 330 x 873 = 30441850330320

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

311 : 1, 311

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,311,858,330,873, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

311:311

858:2x 3x 11x 13

330:2x 3x 5x 11

873:3x 3x 97

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 3x 3x 3x 11x 11 = 39204

Therefore, the value for common factors is 39204.

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 = 30441850330320/(1x39204)

LCM = 30441850330320/39204

LCM = 776498580

Thus, we can understand that the LCM of 396,311,858,330,873 is 776498580.

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

• LCM of 402, 608, 640, 466, 269
• LCM of 426, 838, 727, 178, 628
• LCM of 892, 721, 440, 947, 392
• LCM of 190, 252, 371, 842, 135
• LCM of 228, 418, 487, 954, 498

1. What is the LCM of 396, 311, 858, 330, 873?

Answer: LCM of 396, 311, 858, 330, 873 is 776498580.

2. How to calculate the LCM of 396, 311, 858, 330, 873?

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 396, 311, 858, 330, 873.

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}.