LCM of 324 and 329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 324 and 329 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 106596 as output. Here you can check the answer for Find the LCM of 324 and 329.
What is LCM of 324 and 329
Given Numbers are 324, 329
We can find the LCM of 324, 329 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 324 and 329
Multiples of 324 =324,648,972,1296,1620,1944,2268,2592,2916,3240,3564,3888,4212,4536,4860,5184,5508,
Multiples of 329 =329,658,987,1316,1645,1974,2303,2632,2961,3290,3619,3948,4277,4606,4935,5264,5593,
Now, get the least common multiple of 324, 329 which is 106596
So, the LCM of 324, 329 is 106596.
Least Common Multiple (LCM) of 324 and 329 with the help of Prime Factorisation
One method for determining the LCM of 324 and 329 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 329's prime factorization:
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 329 are 7,47.
329 = 71×471
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, 7,47
.22×34×71×471 = 106596
This shows that the LCM of 324 and 329 is 106596.
How to Calculate the LCM of 324 and 329 Using Common Multiples
The first step in determining the Least Common Multiple of 324 and 329 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 324 and 329:
Lets look at the first ten multiples of these numbers, 324 and 329:
324,648,972,1296,1620,1944,2268,2592,2916,5508 are the first ten multiples of 324.
329,658,987,1316,1645,1974,2303,2632,2961,5593 are the first ten multiples of 329.
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 329, for example, are 3888, 5508, and 5264. 106596 is the least common multiple since it is the smallest.
324 and 329 have an LCM of 106596.
Least Common Multiple of 324 and 329 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 329, than apply into the LCM equation.
GCF(324,329) = 1
LCM(324,329) = ( 324 × 329) / 1
LCM(324,329) = 106596 / 1
LCM(324,329) = 106596
Related Least Common Multiples of 324
Related Least Common Multiples of 329
Frequently Asked Questions on LCM of 324 and 329
1. What is the LCM of 324 and 329?
The LCM of 324 and 329 is 106596.
2. How to find the lowest common multiple of 324 and 329?
To find the lowest common multiple of 324 and 329, we have to get the multip;es of both numbers and identify the least common multiple in them which is 106596.
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 329?
Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.
5. How to Find the LCM of 324 and 329?Answer:
Least Common Multiple of 324 and 329 = 106596
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 329
329 = 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106596 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 47
Step 4: Therefore, the least common multiple of 324 and 329 is 106596.