Given Numbers are 328, 334

We can find the LCM of 328, 334 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 328 and 334

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

Multiples of 334 =334,668,1002,1336,1670,2004,2338,2672,3006,3340,3674,4008,4342,4676,5010,5344,5678,

Now, get the least common multiple of 328, 334 which is 54776

So, the LCM of 328, 334 is 54776.

One method for determining the LCM of 328 and 334 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 334's prime factorization:

Prime factors of 334 are 2,167.

334 = 2¹×167¹

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: 2,41,167

2³×41¹×167¹ = 54776

This shows that the LCM of 328 and 334 is 54776.

The first step in determining the Least Common Multiple of 328 and 334 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 328 and 334:

Lets look at the first ten multiples of these numbers, 328 and 334:

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

334,668,1002,1336,1670,2004,2338,2672,3006,5678 are the first ten multiples of 334.

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 334, for example, are 3936, 5576, and 5344. 54776 is the least common multiple since it is the smallest.

328 and 334 have an LCM of 54776.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 328 and 334, than apply into the LCM equation.

GCF(328,334) = 2
LCM(328,334) = ( 328 × 334) / 2
LCM(328,334) = 109552 / 2
LCM(328,334) = 54776

1. What is the LCM of 328 and 334?

The LCM of 328 and 334 is 54776.

2. How to find the lowest common multiple of 328 and 334?

To find the lowest common multiple of 328 and 334, we have to get the multip;es of both numbers and identify the least common multiple in them which is 54776.

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 334?

Answer: Factors of 334 are 1, 2, 167, 334. There are 4 integers that are factors of 334. The greatest factor of 334 is 334.

Answer:

Least Common Multiple of 328 and 334 = 54776

Step 1: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 334

334 = 2 x 167

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

LCM = 54776 = 2 x 2 x 2 x 41 x 167

Step 4: Therefore, the least common multiple of 328 and 334 is 54776.