Given Numbers are 327, 331

We can find the LCM of 327, 331 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 327 and 331

Multiples of 327 =327,654,981,1308,1635,1962,2289,2616,2943,3270,3597,3924,4251,4578,4905,5232,5559,

Multiples of 331 =331,662,993,1324,1655,1986,2317,2648,2979,3310,3641,3972,4303,4634,4965,5296,5627,

Now, get the least common multiple of 327, 331 which is 108237

So, the LCM of 327, 331 is 108237.

One method for determining the LCM of 327 and 331 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 327's prime factorization:

Prime factors of 327 are 3,109.

327 = 3¹×109¹

And this is 331's prime factorization:

Prime factors of 331 are 331.

331 = 331¹

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: 3,109,331

3¹×109¹×331¹ = 108237

This shows that the LCM of 327 and 331 is 108237.

The first step in determining the Least Common Multiple of 327 and 331 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 327 and 331:

Lets look at the first ten multiples of these numbers, 327 and 331:

327,654,981,1308,1635,1962,2289,2616,2943,5559 are the first ten multiples of 327.

331,662,993,1324,1655,1986,2317,2648,2979,5627 are the first ten multiples of 331.

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 327 and 331, for example, are 3924, 5559, and 5296. 108237 is the least common multiple since it is the smallest.

327 and 331 have an LCM of 108237.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 327 and 331, than apply into the LCM equation.

GCF(327,331) = 1
LCM(327,331) = ( 327 × 331) / 1
LCM(327,331) = 108237 / 1
LCM(327,331) = 108237

1. What is the LCM of 327 and 331?

The LCM of 327 and 331 is 108237.

2. How to find the lowest common multiple of 327 and 331?

To find the lowest common multiple of 327 and 331, we have to get the multip;es of both numbers and identify the least common multiple in them which is 108237.

3. What are the Factors of 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

4. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

Answer:

Least Common Multiple of 327 and 331 = 108237

Step 1: Find the prime factorization of 327

327 = 3 x 109

Step 2: Find the prime factorization of 331

331 = 331

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

LCM = 108237 = 3 x 109 x 331

Step 4: Therefore, the least common multiple of 327 and 331 is 108237.