LCM of 329 and 333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 329 and 333 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 109557 as output. Here you can check the answer for Find the LCM of 329 and 333.
What is LCM of 329 and 333
Given Numbers are 329, 333
We can find the LCM of 329, 333 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 329 and 333
Multiples of 329 =329,658,987,1316,1645,1974,2303,2632,2961,3290,3619,3948,4277,4606,4935,5264,5593,
Multiples of 333 =333,666,999,1332,1665,1998,2331,2664,2997,3330,3663,3996,4329,4662,4995,5328,5661,
Now, get the least common multiple of 329, 333 which is 109557
So, the LCM of 329, 333 is 109557.
Least Common Multiple (LCM) of 329 and 333 with the help of Prime Factorisation
One method for determining the LCM of 329 and 333 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 329's prime factorization:
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 329 are 7,47.
329 = 71×471
And this is 333's prime factorization:
| 3 | 333 |
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 333 are 3,37.
333 = 32×371
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: 7,47, 3,37
.32×71×371×471 = 109557
This shows that the LCM of 329 and 333 is 109557.
How to Calculate the LCM of 329 and 333 Using Common Multiples
The first step in determining the Least Common Multiple of 329 and 333 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 329 and 333:
Lets look at the first ten multiples of these numbers, 329 and 333:
329,658,987,1316,1645,1974,2303,2632,2961,5593 are the first ten multiples of 329.
333,666,999,1332,1665,1998,2331,2664,2997,5661 are the first ten multiples of 333.
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 329 and 333, for example, are 3948, 5593, and 5328. 109557 is the least common multiple since it is the smallest.
329 and 333 have an LCM of 109557.
Least Common Multiple of 329 and 333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 333, than apply into the LCM equation.
GCF(329,333) = 1
LCM(329,333) = ( 329 × 333) / 1
LCM(329,333) = 109557 / 1
LCM(329,333) = 109557
Related Least Common Multiples of 329
Related Least Common Multiples of 333
Frequently Asked Questions on LCM of 329 and 333
1. What is the LCM of 329 and 333?
The LCM of 329 and 333 is 109557.
2. How to find the lowest common multiple of 329 and 333?
To find the lowest common multiple of 329 and 333, we have to get the multip;es of both numbers and identify the least common multiple in them which is 109557.
3. 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.
4. What are the Factors of 333?
Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.
5. How to Find the LCM of 329 and 333?Answer:
Least Common Multiple of 329 and 333 = 109557
Step 1: Find the prime factorization of 329
329 = 7 x 47
Step 2: Find the prime factorization of 333
333 = 3 x 3 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 109557 = 3 x 3 x 7 x 37 x 47
Step 4: Therefore, the least common multiple of 329 and 333 is 109557.