Given Numbers are 320, 328

We can find the LCM of 320, 328 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 320 and 328

Multiples of 320 =320,640,960,1280,1600,1920,2240,2560,2880,3200,3520,3840,4160,4480,4800,5120,5440,

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

Now, get the least common multiple of 320, 328 which is 13120

So, the LCM of 320, 328 is 13120.

One method for determining the LCM of 320 and 328 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 320's prime factorization:

Prime factors of 320 are 2,5.

320 = 2⁶×5¹

And this is 328's prime factorization:

Prime factors of 328 are 2,41.

328 = 2³×41¹

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: 2,5,41

2⁶×5¹×41¹ = 13120

This shows that the LCM of 320 and 328 is 13120.

The first step in determining the Least Common Multiple of 320 and 328 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 320 and 328:

Lets look at the first ten multiples of these numbers, 320 and 328:

320,640,960,1280,1600,1920,2240,2560,2880,5440 are the first ten multiples of 320.

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

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 320 and 328, for example, are 3840, 5440, and 5248. 13120 is the least common multiple since it is the smallest.

320 and 328 have an LCM of 13120.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 320 and 328, than apply into the LCM equation.

GCF(320,328) = 8
LCM(320,328) = ( 320 × 328) / 8
LCM(320,328) = 104960 / 8
LCM(320,328) = 13120

1. What is the LCM of 320 and 328?

The LCM of 320 and 328 is 13120.

2. How to find the lowest common multiple of 320 and 328?

To find the lowest common multiple of 320 and 328, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13120.

3. What are the Factors of 320?

Answer: Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. There are 14 integers that are factors of 320. The greatest factor of 320 is 320.

4. 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.

Answer:

Least Common Multiple of 320 and 328 = 13120

Step 1: Find the prime factorization of 320

320 = 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

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

LCM = 13120 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 41

Step 4: Therefore, the least common multiple of 320 and 328 is 13120.