LCM of 328 and 336
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 328 and 336 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 13776 as output. Here you can check the answer for Find the LCM of 328 and 336.
What is LCM of 328 and 336
Given Numbers are 328, 336
We can find the LCM of 328, 336 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 328 and 336
Multiples of 328 =328,656,984,1312,1640,1968,2296,2624,2952,3280,3608,3936,4264,4592,4920,5248,5576,
Multiples of 336 =336,672,1008,1344,1680,2016,2352,2688,3024,3360,3696,4032,4368,4704,5040,5376,5712,
Now, get the least common multiple of 328, 336 which is 13776
So, the LCM of 328, 336 is 13776.
Least Common Multiple (LCM) of 328 and 336 with the help of Prime Factorisation
One method for determining the LCM of 328 and 336 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 336's prime factorization:
| 2 | 336 |
| 2 | 168 |
| 2 | 84 |
| 2 | 42 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 336 are 2, 3,7.
336 = 24×31×71
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, 3,7
.24×31×71×411 = 13776
This shows that the LCM of 328 and 336 is 13776.
How to Calculate the LCM of 328 and 336 Using Common Multiples
The first step in determining the Least Common Multiple of 328 and 336 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 328 and 336:
Lets look at the first ten multiples of these numbers, 328 and 336:
328,656,984,1312,1640,1968,2296,2624,2952,5576 are the first ten multiples of 328.
336,672,1008,1344,1680,2016,2352,2688,3024,5712 are the first ten multiples of 336.
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 336, for example, are 3936, 5576, and 5376. 13776 is the least common multiple since it is the smallest.
328 and 336 have an LCM of 13776.
Least Common Multiple of 328 and 336 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 336, than apply into the LCM equation.
GCF(328,336) = 8
LCM(328,336) = ( 328 × 336) / 8
LCM(328,336) = 110208 / 8
LCM(328,336) = 13776
Related Least Common Multiples of 328
Related Least Common Multiples of 336
Frequently Asked Questions on LCM of 328 and 336
1. What is the LCM of 328 and 336?
The LCM of 328 and 336 is 13776.
2. How to find the lowest common multiple of 328 and 336?
To find the lowest common multiple of 328 and 336, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13776.
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 336?
Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.
5. How to Find the LCM of 328 and 336?Answer:
Least Common Multiple of 328 and 336 = 13776
Step 1: Find the prime factorization of 328
328 = 2 x 2 x 2 x 41
Step 2: Find the prime factorization of 336
336 = 2 x 2 x 2 x 2 x 3 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13776 = 2 x 2 x 2 x 2 x 3 x 7 x 41
Step 4: Therefore, the least common multiple of 328 and 336 is 13776.