Given Numbers are 320, 324

We can find the LCM of 320, 324 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 320 and 324

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

Multiples of 324 =324,648,972,1296,1620,1944,2268,2592,2916,3240,3564,3888,4212,4536,4860,5184,5508,

Now, get the least common multiple of 320, 324 which is 25920

So, the LCM of 320, 324 is 25920.

One method for determining the LCM of 320 and 324 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 324's prime factorization:

Prime factors of 324 are 2,3.

324 = 2²×3⁴

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: 2,5,3

2⁶×3⁴×5¹ = 25920

This shows that the LCM of 320 and 324 is 25920.

The first step in determining the Least Common Multiple of 320 and 324 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 320 and 324:

Lets look at the first ten multiples of these numbers, 320 and 324:

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

324,648,972,1296,1620,1944,2268,2592,2916,5508 are the first ten multiples of 324.

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 324, for example, are 3840, 5440, and 5184. 25920 is the least common multiple since it is the smallest.

320 and 324 have an LCM of 25920.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 320 and 324, than apply into the LCM equation.

GCF(320,324) = 4
LCM(320,324) = ( 320 × 324) / 4
LCM(320,324) = 103680 / 4
LCM(320,324) = 25920

1. What is the LCM of 320 and 324?

The LCM of 320 and 324 is 25920.

2. How to find the lowest common multiple of 320 and 324?

To find the lowest common multiple of 320 and 324, we have to get the multip;es of both numbers and identify the least common multiple in them which is 25920.

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 324?

Answer: Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. There are 15 integers that are factors of 324. The greatest factor of 324 is 324.

Answer:

Least Common Multiple of 320 and 324 = 25920

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 324

324 = 2 x 2 x 3 x 3 x 3 x 3

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

LCM = 25920 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5

Step 4: Therefore, the least common multiple of 320 and 324 is 25920.