LCM of 363 and 367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 363 and 367 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 133221 as output. Here you can check the answer for Find the LCM of 363 and 367.
What is LCM of 363 and 367
Given Numbers are 363, 367
We can find the LCM of 363, 367 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 363 and 367
Multiples of 363 =363,726,1089,1452,1815,2178,2541,2904,3267,3630,3993,4356,4719,5082,5445,5808,6171,
Multiples of 367 =367,734,1101,1468,1835,2202,2569,2936,3303,3670,4037,4404,4771,5138,5505,5872,6239,
Now, get the least common multiple of 363, 367 which is 133221
So, the LCM of 363, 367 is 133221.
Least Common Multiple (LCM) of 363 and 367 with the help of Prime Factorisation
One method for determining the LCM of 363 and 367 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 363's prime factorization:
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 363 are 3,11.
363 = 31×112
And this is 367's prime factorization:
| 367 | 367 |
| 1 |
Prime factors of 367 are 367.
367 = 3671
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: 3,11,367
.31×112×3671 = 133221
This shows that the LCM of 363 and 367 is 133221.
How to Calculate the LCM of 363 and 367 Using Common Multiples
The first step in determining the Least Common Multiple of 363 and 367 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 363 and 367:
Lets look at the first ten multiples of these numbers, 363 and 367:
363,726,1089,1452,1815,2178,2541,2904,3267,6171 are the first ten multiples of 363.
367,734,1101,1468,1835,2202,2569,2936,3303,6239 are the first ten multiples of 367.
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 363 and 367, for example, are 4356, 6171, and 5872. 133221 is the least common multiple since it is the smallest.
363 and 367 have an LCM of 133221.
Least Common Multiple of 363 and 367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 363 and 367, than apply into the LCM equation.
GCF(363,367) = 1
LCM(363,367) = ( 363 × 367) / 1
LCM(363,367) = 133221 / 1
LCM(363,367) = 133221
Related Least Common Multiples of 363
Related Least Common Multiples of 367
Frequently Asked Questions on LCM of 363 and 367
1. What is the LCM of 363 and 367?
The LCM of 363 and 367 is 133221.
2. How to find the lowest common multiple of 363 and 367?
To find the lowest common multiple of 363 and 367, we have to get the multip;es of both numbers and identify the least common multiple in them which is 133221.
3. What are the Factors of 363?
Answer: Factors of 363 are 1, 3, 11, 33, 121, 363. There are 6 integers that are factors of 363. The greatest factor of 363 is 363.
4. What are the Factors of 367?
Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.
5. How to Find the LCM of 363 and 367?Answer:
Least Common Multiple of 363 and 367 = 133221
Step 1: Find the prime factorization of 363
363 = 3 x 11 x 11
Step 2: Find the prime factorization of 367
367 = 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 133221 = 3 x 11 x 11 x 367
Step 4: Therefore, the least common multiple of 363 and 367 is 133221.