LCM of 227 and 231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 227 and 231 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 52437 as output. Here you can check the answer for Find the LCM of 227 and 231.
What is LCM of 227 and 231
Given Numbers are 227, 231
We can find the LCM of 227, 231 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 227 and 231
Multiples of 227 =227,454,681,908,1135,1362,1589,1816,2043,2270,2497,2724,2951,3178,3405,3632,3859,
Multiples of 231 =231,462,693,924,1155,1386,1617,1848,2079,2310,2541,2772,3003,3234,3465,3696,3927,
Now, get the least common multiple of 227, 231 which is 52437
So, the LCM of 227, 231 is 52437.
Least Common Multiple (LCM) of 227 and 231 with the help of Prime Factorisation
One method for determining the LCM of 227 and 231 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 227's prime factorization:
| 227 | 227 |
| 1 |
Prime factors of 227 are 227.
227 = 2271
And this is 231's prime factorization:
| 3 | 231 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 231 are 3, 7,11.
231 = 31×71×111
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:227, 3, 7,11
.31×71×111×2271 = 52437
This shows that the LCM of 227 and 231 is 52437.
How to Calculate the LCM of 227 and 231 Using Common Multiples
The first step in determining the Least Common Multiple of 227 and 231 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 227 and 231:
Lets look at the first ten multiples of these numbers, 227 and 231:
227,454,681,908,1135,1362,1589,1816,2043,3859 are the first ten multiples of 227.
231,462,693,924,1155,1386,1617,1848,2079,3927 are the first ten multiples of 231.
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 227 and 231, for example, are 2724, 3859, and 3696. 52437 is the least common multiple since it is the smallest.
227 and 231 have an LCM of 52437.
Least Common Multiple of 227 and 231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 227 and 231, than apply into the LCM equation.
GCF(227,231) = 1
LCM(227,231) = ( 227 × 231) / 1
LCM(227,231) = 52437 / 1
LCM(227,231) = 52437
Related Least Common Multiples of 227
Related Least Common Multiples of 231
Frequently Asked Questions on LCM of 227 and 231
1. What is the LCM of 227 and 231?
The LCM of 227 and 231 is 52437.
2. How to find the lowest common multiple of 227 and 231?
To find the lowest common multiple of 227 and 231, we have to get the multip;es of both numbers and identify the least common multiple in them which is 52437.
3. What are the Factors of 227?
Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.
4. What are the Factors of 231?
Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.
5. How to Find the LCM of 227 and 231?Answer:
Least Common Multiple of 227 and 231 = 52437
Step 1: Find the prime factorization of 227
227 = 227
Step 2: Find the prime factorization of 231
231 = 3 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52437 = 3 x 7 x 11 x 227
Step 4: Therefore, the least common multiple of 227 and 231 is 52437.