Given Numbers are 327, 333

We can find the LCM of 327, 333 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 327 and 333

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

Multiples of 333 =333,666,999,1332,1665,1998,2331,2664,2997,3330,3663,3996,4329,4662,4995,5328,5661,

Now, get the least common multiple of 327, 333 which is 36297

So, the LCM of 327, 333 is 36297.

One method for determining the LCM of 327 and 333 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 333's prime factorization:

Prime factors of 333 are 3,37.

333 = 3²×37¹

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: 3,109,37

3²×37¹×109¹ = 36297

This shows that the LCM of 327 and 333 is 36297.

The first step in determining the Least Common Multiple of 327 and 333 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 327 and 333:

Lets look at the first ten multiples of these numbers, 327 and 333:

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

333,666,999,1332,1665,1998,2331,2664,2997,5661 are the first ten multiples of 333.

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 333, for example, are 3924, 5559, and 5328. 36297 is the least common multiple since it is the smallest.

327 and 333 have an LCM of 36297.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 327 and 333, than apply into the LCM equation.

GCF(327,333) = 3
LCM(327,333) = ( 327 × 333) / 3
LCM(327,333) = 108891 / 3
LCM(327,333) = 36297

1. What is the LCM of 327 and 333?

The LCM of 327 and 333 is 36297.

2. How to find the lowest common multiple of 327 and 333?

To find the lowest common multiple of 327 and 333, we have to get the multip;es of both numbers and identify the least common multiple in them which is 36297.

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 333?

Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.

Answer:

Least Common Multiple of 327 and 333 = 36297

Step 1: Find the prime factorization of 327

327 = 3 x 109

Step 2: Find the prime factorization of 333

333 = 3 x 3 x 37

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

LCM = 36297 = 3 x 3 x 37 x 109

Step 4: Therefore, the least common multiple of 327 and 333 is 36297.