Given Numbers are 411, 418

We can find the LCM of 411, 418 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 411 and 418

Multiples of 411 =411,822,1233,1644,2055,2466,2877,3288,3699,4110,4521,4932,5343,5754,6165,6576,6987,

Multiples of 418 =418,836,1254,1672,2090,2508,2926,3344,3762,4180,4598,5016,5434,5852,6270,6688,7106,

Now, get the least common multiple of 411, 418 which is 171798

So, the LCM of 411, 418 is 171798.

One method for determining the LCM of 411 and 418 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 411's prime factorization:

Prime factors of 411 are 3,137.

411 = 3¹×137¹

And this is 418's prime factorization:

Prime factors of 418 are 2, 11,19.

418 = 2¹×11¹×19¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 3,137, 2, 11,19

2¹×3¹×11¹×19¹×137¹ = 171798

This shows that the LCM of 411 and 418 is 171798.

The first step in determining the Least Common Multiple of 411 and 418 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 411 and 418:

Lets look at the first ten multiples of these numbers, 411 and 418:

411,822,1233,1644,2055,2466,2877,3288,3699,6987 are the first ten multiples of 411.

418,836,1254,1672,2090,2508,2926,3344,3762,7106 are the first ten multiples of 418.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 411 and 418, for example, are 4932, 6987, and 6688. 171798 is the least common multiple since it is the smallest.

411 and 418 have an LCM of 171798.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 411 and 418, than apply into the LCM equation.

GCF(411,418) = 1
LCM(411,418) = ( 411 × 418) / 1
LCM(411,418) = 171798 / 1
LCM(411,418) = 171798

1. What is the LCM of 411 and 418?

The LCM of 411 and 418 is 171798.

2. How to find the lowest common multiple of 411 and 418?

To find the lowest common multiple of 411 and 418, we have to get the multip;es of both numbers and identify the least common multiple in them which is 171798.

3. What are the Factors of 411?

Answer: Factors of 411 are 1, 3, 137, 411. There are 4 integers that are factors of 411. The greatest factor of 411 is 411.

4. What are the Factors of 418?

Answer: Factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418. There are 8 integers that are factors of 418. The greatest factor of 418 is 418.

Answer:

Least Common Multiple of 411 and 418 = 171798

Step 1: Find the prime factorization of 411

411 = 3 x 137

Step 2: Find the prime factorization of 418

418 = 2 x 11 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 171798 = 2 x 3 x 11 x 19 x 137

Step 4: Therefore, the least common multiple of 411 and 418 is 171798.