LCM of 376 and 384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 376 and 384 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 18048 as output. Here you can check the answer for Find the LCM of 376 and 384.
What is LCM of 376 and 384
Given Numbers are 376, 384
We can find the LCM of 376, 384 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 376 and 384
Multiples of 376 =376,752,1128,1504,1880,2256,2632,3008,3384,3760,4136,4512,4888,5264,5640,6016,6392,
Multiples of 384 =384,768,1152,1536,1920,2304,2688,3072,3456,3840,4224,4608,4992,5376,5760,6144,6528,
Now, get the least common multiple of 376, 384 which is 18048
So, the LCM of 376, 384 is 18048.
Least Common Multiple (LCM) of 376 and 384 with the help of Prime Factorisation
One method for determining the LCM of 376 and 384 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 376's prime factorization:
| 2 | 376 |
| 2 | 188 |
| 2 | 94 |
| 47 | 47 |
| 1 |
Prime factors of 376 are 2,47.
376 = 23×471
And this is 384's prime factorization:
| 2 | 384 |
| 2 | 192 |
| 2 | 96 |
| 2 | 48 |
| 2 | 24 |
| 2 | 12 |
| 2 | 6 |
| 3 | 3 |
| 1 |
Prime factors of 384 are 2,3.
384 = 27×31
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: 2,47,3
.27×31×471 = 18048
This shows that the LCM of 376 and 384 is 18048.
How to Calculate the LCM of 376 and 384 Using Common Multiples
The first step in determining the Least Common Multiple of 376 and 384 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 376 and 384:
Lets look at the first ten multiples of these numbers, 376 and 384:
376,752,1128,1504,1880,2256,2632,3008,3384,6392 are the first ten multiples of 376.
384,768,1152,1536,1920,2304,2688,3072,3456,6528 are the first ten multiples of 384.
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 376 and 384, for example, are 4512, 6392, and 6144. 18048 is the least common multiple since it is the smallest.
376 and 384 have an LCM of 18048.
Least Common Multiple of 376 and 384 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 376 and 384, than apply into the LCM equation.
GCF(376,384) = 8
LCM(376,384) = ( 376 × 384) / 8
LCM(376,384) = 144384 / 8
LCM(376,384) = 18048
Related Least Common Multiples of 376
Related Least Common Multiples of 384
Frequently Asked Questions on LCM of 376 and 384
1. What is the LCM of 376 and 384?
The LCM of 376 and 384 is 18048.
2. How to find the lowest common multiple of 376 and 384?
To find the lowest common multiple of 376 and 384, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18048.
3. What are the Factors of 376?
Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.
4. What are the Factors of 384?
Answer: Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. There are 16 integers that are factors of 384. The greatest factor of 384 is 384.
5. How to Find the LCM of 376 and 384?Answer:
Least Common Multiple of 376 and 384 = 18048
Step 1: Find the prime factorization of 376
376 = 2 x 2 x 2 x 47
Step 2: Find the prime factorization of 384
384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47
Step 4: Therefore, the least common multiple of 376 and 384 is 18048.