LCM of 369 and 375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 369 and 375 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 46125 as output. Here you can check the answer for Find the LCM of 369 and 375.
What is LCM of 369 and 375
Given Numbers are 369, 375
We can find the LCM of 369, 375 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 369 and 375
Multiples of 369 =369,738,1107,1476,1845,2214,2583,2952,3321,3690,4059,4428,4797,5166,5535,5904,6273,
Multiples of 375 =375,750,1125,1500,1875,2250,2625,3000,3375,3750,4125,4500,4875,5250,5625,6000,6375,
Now, get the least common multiple of 369, 375 which is 46125
So, the LCM of 369, 375 is 46125.
Least Common Multiple (LCM) of 369 and 375 with the help of Prime Factorisation
One method for determining the LCM of 369 and 375 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 375's prime factorization:
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 375 are 3,5.
375 = 31×53
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: 3,41,5
.32×53×411 = 46125
This shows that the LCM of 369 and 375 is 46125.
How to Calculate the LCM of 369 and 375 Using Common Multiples
The first step in determining the Least Common Multiple of 369 and 375 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 369 and 375:
Lets look at the first ten multiples of these numbers, 369 and 375:
369,738,1107,1476,1845,2214,2583,2952,3321,6273 are the first ten multiples of 369.
375,750,1125,1500,1875,2250,2625,3000,3375,6375 are the first ten multiples of 375.
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 375, for example, are 4428, 6273, and 6000. 46125 is the least common multiple since it is the smallest.
369 and 375 have an LCM of 46125.
Least Common Multiple of 369 and 375 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 375, than apply into the LCM equation.
GCF(369,375) = 3
LCM(369,375) = ( 369 × 375) / 3
LCM(369,375) = 138375 / 3
LCM(369,375) = 46125
Related Least Common Multiples of 369
Related Least Common Multiples of 375
Frequently Asked Questions on LCM of 369 and 375
1. What is the LCM of 369 and 375?
The LCM of 369 and 375 is 46125.
2. How to find the lowest common multiple of 369 and 375?
To find the lowest common multiple of 369 and 375, we have to get the multip;es of both numbers and identify the least common multiple in them which is 46125.
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 375?
Answer: Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. There are 8 integers that are factors of 375. The greatest factor of 375 is 375.
5. How to Find the LCM of 369 and 375?Answer:
Least Common Multiple of 369 and 375 = 46125
Step 1: Find the prime factorization of 369
369 = 3 x 3 x 41
Step 2: Find the prime factorization of 375
375 = 3 x 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46125 = 3 x 3 x 5 x 5 x 5 x 41
Step 4: Therefore, the least common multiple of 369 and 375 is 46125.