Given Numbers are 328, 332

We can find the LCM of 328, 332 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 328 and 332

Multiples of 328 =328,656,984,1312,1640,1968,2296,2624,2952,3280,3608,3936,4264,4592,4920,5248,5576,

Multiples of 332 =332,664,996,1328,1660,1992,2324,2656,2988,3320,3652,3984,4316,4648,4980,5312,5644,

Now, get the least common multiple of 328, 332 which is 27224

So, the LCM of 328, 332 is 27224.

One method for determining the LCM of 328 and 332 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 328's prime factorization:

Prime factors of 328 are 2,41.

328 = 2³×41¹

And this is 332's prime factorization:

Prime factors of 332 are 2,83.

332 = 2²×83¹

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: 2,41,83

2³×41¹×83¹ = 27224

This shows that the LCM of 328 and 332 is 27224.

The first step in determining the Least Common Multiple of 328 and 332 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 328 and 332:

Lets look at the first ten multiples of these numbers, 328 and 332:

328,656,984,1312,1640,1968,2296,2624,2952,5576 are the first ten multiples of 328.

332,664,996,1328,1660,1992,2324,2656,2988,5644 are the first ten multiples of 332.

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 328 and 332, for example, are 3936, 5576, and 5312. 27224 is the least common multiple since it is the smallest.

328 and 332 have an LCM of 27224.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 328 and 332, than apply into the LCM equation.

GCF(328,332) = 4
LCM(328,332) = ( 328 × 332) / 4
LCM(328,332) = 108896 / 4
LCM(328,332) = 27224

1. What is the LCM of 328 and 332?

The LCM of 328 and 332 is 27224.

2. How to find the lowest common multiple of 328 and 332?

To find the lowest common multiple of 328 and 332, we have to get the multip;es of both numbers and identify the least common multiple in them which is 27224.

3. What are the Factors of 328?

Answer: Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. There are 8 integers that are factors of 328. The greatest factor of 328 is 328.

4. What are the Factors of 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

Answer:

Least Common Multiple of 328 and 332 = 27224

Step 1: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 332

332 = 2 x 2 x 83

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

LCM = 27224 = 2 x 2 x 2 x 41 x 83

Step 4: Therefore, the least common multiple of 328 and 332 is 27224.