LCM of 376 and 383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 376 and 383 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 144008 as output. Here you can check the answer for Find the LCM of 376 and 383.
What is LCM of 376 and 383
Given Numbers are 376, 383
We can find the LCM of 376, 383 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 376 and 383
Multiples of 376 =376,752,1128,1504,1880,2256,2632,3008,3384,3760,4136,4512,4888,5264,5640,6016,6392,
Multiples of 383 =383,766,1149,1532,1915,2298,2681,3064,3447,3830,4213,4596,4979,5362,5745,6128,6511,
Now, get the least common multiple of 376, 383 which is 144008
So, the LCM of 376, 383 is 144008.
Least Common Multiple (LCM) of 376 and 383 with the help of Prime Factorisation
One method for determining the LCM of 376 and 383 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 383's prime factorization:
| 383 | 383 |
| 1 |
Prime factors of 383 are 383.
383 = 3831
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: 2,47,383
.23×471×3831 = 144008
This shows that the LCM of 376 and 383 is 144008.
How to Calculate the LCM of 376 and 383 Using Common Multiples
The first step in determining the Least Common Multiple of 376 and 383 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 376 and 383:
Lets look at the first ten multiples of these numbers, 376 and 383:
376,752,1128,1504,1880,2256,2632,3008,3384,6392 are the first ten multiples of 376.
383,766,1149,1532,1915,2298,2681,3064,3447,6511 are the first ten multiples of 383.
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 383, for example, are 4512, 6392, and 6128. 144008 is the least common multiple since it is the smallest.
376 and 383 have an LCM of 144008.
Least Common Multiple of 376 and 383 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 383, than apply into the LCM equation.
GCF(376,383) = 1
LCM(376,383) = ( 376 × 383) / 1
LCM(376,383) = 144008 / 1
LCM(376,383) = 144008
Related Least Common Multiples of 376
Related Least Common Multiples of 383
Frequently Asked Questions on LCM of 376 and 383
1. What is the LCM of 376 and 383?
The LCM of 376 and 383 is 144008.
2. How to find the lowest common multiple of 376 and 383?
To find the lowest common multiple of 376 and 383, we have to get the multip;es of both numbers and identify the least common multiple in them which is 144008.
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 383?
Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.
5. How to Find the LCM of 376 and 383?Answer:
Least Common Multiple of 376 and 383 = 144008
Step 1: Find the prime factorization of 376
376 = 2 x 2 x 2 x 47
Step 2: Find the prime factorization of 383
383 = 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 144008 = 2 x 2 x 2 x 47 x 383
Step 4: Therefore, the least common multiple of 376 and 383 is 144008.