LCM of 369 and 376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 369 and 376 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 138744 as output. Here you can check the answer for Find the LCM of 369 and 376.
What is LCM of 369 and 376
Given Numbers are 369, 376
We can find the LCM of 369, 376 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 369 and 376
Multiples of 369 =369,738,1107,1476,1845,2214,2583,2952,3321,3690,4059,4428,4797,5166,5535,5904,6273,
Multiples of 376 =376,752,1128,1504,1880,2256,2632,3008,3384,3760,4136,4512,4888,5264,5640,6016,6392,
Now, get the least common multiple of 369, 376 which is 138744
So, the LCM of 369, 376 is 138744.
Least Common Multiple (LCM) of 369 and 376 with the help of Prime Factorisation
One method for determining the LCM of 369 and 376 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 369's prime factorization:
| 3 | 369 |
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 369 are 3,41.
369 = 32×411
And this is 376's prime factorization:
| 2 | 376 |
| 2 | 188 |
| 2 | 94 |
| 47 | 47 |
| 1 |
Prime factors of 376 are 2,47.
376 = 23×471
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: 3,41, 2,47
.23×32×411×471 = 138744
This shows that the LCM of 369 and 376 is 138744.
How to Calculate the LCM of 369 and 376 Using Common Multiples
The first step in determining the Least Common Multiple of 369 and 376 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 369 and 376:
Lets look at the first ten multiples of these numbers, 369 and 376:
369,738,1107,1476,1845,2214,2583,2952,3321,6273 are the first ten multiples of 369.
376,752,1128,1504,1880,2256,2632,3008,3384,6392 are the first ten multiples of 376.
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 369 and 376, for example, are 4428, 6273, and 6016. 138744 is the least common multiple since it is the smallest.
369 and 376 have an LCM of 138744.
Least Common Multiple of 369 and 376 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 369 and 376, than apply into the LCM equation.
GCF(369,376) = 1
LCM(369,376) = ( 369 × 376) / 1
LCM(369,376) = 138744 / 1
LCM(369,376) = 138744
Related Least Common Multiples of 369
Related Least Common Multiples of 376
Frequently Asked Questions on LCM of 369 and 376
1. What is the LCM of 369 and 376?
The LCM of 369 and 376 is 138744.
2. How to find the lowest common multiple of 369 and 376?
To find the lowest common multiple of 369 and 376, we have to get the multip;es of both numbers and identify the least common multiple in them which is 138744.
3. What are the Factors of 369?
Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.
4. 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.
5. How to Find the LCM of 369 and 376?Answer:
Least Common Multiple of 369 and 376 = 138744
Step 1: Find the prime factorization of 369
369 = 3 x 3 x 41
Step 2: Find the prime factorization of 376
376 = 2 x 2 x 2 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 138744 = 2 x 2 x 2 x 3 x 3 x 41 x 47
Step 4: Therefore, the least common multiple of 369 and 376 is 138744.