Given numbers are 311,858,164,409

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

The LCM of 311,858,164,409 is 8949212844.

Find LCM of 311,858,164,409 with Prime Factorization

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

2 x 311 x 429 x 82 x 409 = 8949212844

Therefore, the lowest common multiple of 311,858,164,409 is 8949212844.

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.

311 x 858 x 164 x 409 = 17898425688

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.

311 : 1, 311

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

164 : 1, 2, 4, 41, 82, 164

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,858,164,409, is 1.

Now, the common factors can be found like this.

311:311

858:2x 3x 11x 13

164:2x 2x 41

409:409

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 17898425688/(1x2)

LCM = 17898425688/2

LCM = 8949212844

Thus, we can understand that the LCM of 311,858,164,409 is 8949212844.

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

• LCM of 428, 470, 392, 387
• LCM of 960, 799, 417, 869
• LCM of 361, 848, 901, 666
• LCM of 260, 603, 808, 655
• LCM of 619, 680, 540, 680

1. What is the LCM of 311, 858, 164, 409?

Answer: LCM of 311, 858, 164, 409 is 8949212844.

2. How to calculate the LCM of 311, 858, 164, 409?

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 311, 858, 164, 409.

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}.