LCM of 328 and 333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 328 and 333 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 109224 as output. Here you can check the answer for Find the LCM of 328 and 333.
What is LCM of 328 and 333
Given Numbers are 328, 333
We can find the LCM of 328, 333 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 328 and 333
Multiples of 328 =328,656,984,1312,1640,1968,2296,2624,2952,3280,3608,3936,4264,4592,4920,5248,5576,
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 328, 333 which is 109224
So, the LCM of 328, 333 is 109224.
Least Common Multiple (LCM) of 328 and 333 with the help of Prime Factorisation
One method for determining the LCM of 328 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 328's prime factorization:
| 2 | 328 |
| 2 | 164 |
| 2 | 82 |
| 41 | 41 |
| 1 |
Prime factors of 328 are 2,41.
328 = 23×411
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: 2,41, 3,37
.23×32×371×411 = 109224
This shows that the LCM of 328 and 333 is 109224.
How to Calculate the LCM of 328 and 333 Using Common Multiples
The first step in determining the Least Common Multiple of 328 and 333 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 328 and 333:
Lets look at the first ten multiples of these numbers, 328 and 333:
328,656,984,1312,1640,1968,2296,2624,2952,5576 are the first ten multiples of 328.
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 328 and 333, for example, are 3936, 5576, and 5328. 109224 is the least common multiple since it is the smallest.
328 and 333 have an LCM of 109224.
Least Common Multiple of 328 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 328 and 333, than apply into the LCM equation.
GCF(328,333) = 1
LCM(328,333) = ( 328 × 333) / 1
LCM(328,333) = 109224 / 1
LCM(328,333) = 109224
Related Least Common Multiples of 328
Related Least Common Multiples of 333
Frequently Asked Questions on LCM of 328 and 333
1. What is the LCM of 328 and 333?
The LCM of 328 and 333 is 109224.
2. How to find the lowest common multiple of 328 and 333?
To find the lowest common multiple of 328 and 333, we have to get the multip;es of both numbers and identify the least common multiple in them which is 109224.
3. 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.
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 328 and 333?Answer:
Least Common Multiple of 328 and 333 = 109224
Step 1: Find the prime factorization of 328
328 = 2 x 2 x 2 x 41
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 = 109224 = 2 x 2 x 2 x 3 x 3 x 37 x 41
Step 4: Therefore, the least common multiple of 328 and 333 is 109224.