Given numbers are 311,74,418

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

The LCM of 311,74,418 is 4809926.

Find LCM of 311,74,418 with Prime Factorization

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

2 x 311 x 37 x 209 = 4809926

Therefore, the lowest common multiple of 311,74,418 is 4809926.

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 74 x 418 = 9619852

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

74 : 1, 2, 37, 74

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,74,418, is 1.

Now, the common factors can be found like this.

311:311

74:2x 37

418:2x 11x 19

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 = 9619852/(1x2)

LCM = 9619852/2

LCM = 4809926

Thus, we can understand that the LCM of 311,74,418 is 4809926.

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

• LCM of 728, 49, 724
• LCM of 776, 58, 670
• LCM of 219, 29, 275
• LCM of 331, 36, 869
• LCM of 721, 54, 233

1. What is the LCM of 311, 74, 418?

Answer: LCM of 311, 74, 418 is 4809926.

2. How to calculate the LCM of 311, 74, 418?

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, 74, 418.

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}.