LCM of 324 and 328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 324 and 328 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 26568 as output. Here you can check the answer for Find the LCM of 324 and 328.
What is LCM of 324 and 328
Given Numbers are 324, 328
We can find the LCM of 324, 328 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 324 and 328
Multiples of 324 =324,648,972,1296,1620,1944,2268,2592,2916,3240,3564,3888,4212,4536,4860,5184,5508,
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 324, 328 which is 26568
So, the LCM of 324, 328 is 26568.
Least Common Multiple (LCM) of 324 and 328 with the help of Prime Factorisation
One method for determining the LCM of 324 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 324's prime factorization:
| 2 | 324 |
| 2 | 162 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 324 are 2,3.
324 = 22×34
And this is 328's prime factorization:
| 2 | 328 |
| 2 | 164 |
| 2 | 82 |
| 41 | 41 |
| 1 |
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: 2,3,41
.23×34×411 = 26568
This shows that the LCM of 324 and 328 is 26568.
How to Calculate the LCM of 324 and 328 Using Common Multiples
The first step in determining the Least Common Multiple of 324 and 328 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 324 and 328:
Lets look at the first ten multiples of these numbers, 324 and 328:
324,648,972,1296,1620,1944,2268,2592,2916,5508 are the first ten multiples of 324.
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 324 and 328, for example, are 3888, 5508, and 5248. 26568 is the least common multiple since it is the smallest.
324 and 328 have an LCM of 26568.
Least Common Multiple of 324 and 328 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 324 and 328, than apply into the LCM equation.
GCF(324,328) = 4
LCM(324,328) = ( 324 × 328) / 4
LCM(324,328) = 106272 / 4
LCM(324,328) = 26568
Related Least Common Multiples of 324
Related Least Common Multiples of 328
Frequently Asked Questions on LCM of 324 and 328
1. What is the LCM of 324 and 328?
The LCM of 324 and 328 is 26568.
2. How to find the lowest common multiple of 324 and 328?
To find the lowest common multiple of 324 and 328, we have to get the multip;es of both numbers and identify the least common multiple in them which is 26568.
3. 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.
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.
5. How to Find the LCM of 324 and 328?Answer:
Least Common Multiple of 324 and 328 = 26568
Step 1: Find the prime factorization of 324
324 = 2 x 2 x 3 x 3 x 3 x 3
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 = 26568 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 41
Step 4: Therefore, the least common multiple of 324 and 328 is 26568.