LCM of 226 and 231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 226 and 231 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 52206 as output. Here you can check the answer for Find the LCM of 226 and 231.
What is LCM of 226 and 231
Given Numbers are 226, 231
We can find the LCM of 226, 231 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 226 and 231
Multiples of 226 =226,452,678,904,1130,1356,1582,1808,2034,2260,2486,2712,2938,3164,3390,3616,3842,
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 226, 231 which is 52206
So, the LCM of 226, 231 is 52206.
Least Common Multiple (LCM) of 226 and 231 with the help of Prime Factorisation
One method for determining the LCM of 226 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 226's prime factorization:
| 2 | 226 |
| 113 | 113 |
| 1 |
Prime factors of 226 are 2,113.
226 = 21×1131
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: 2,113, 3, 7,11
.21×31×71×111×1131 = 52206
This shows that the LCM of 226 and 231 is 52206.
How to Calculate the LCM of 226 and 231 Using Common Multiples
The first step in determining the Least Common Multiple of 226 and 231 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 226 and 231:
Lets look at the first ten multiples of these numbers, 226 and 231:
226,452,678,904,1130,1356,1582,1808,2034,3842 are the first ten multiples of 226.
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 226 and 231, for example, are 2712, 3842, and 3696. 52206 is the least common multiple since it is the smallest.
226 and 231 have an LCM of 52206.
Least Common Multiple of 226 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 226 and 231, than apply into the LCM equation.
GCF(226,231) = 1
LCM(226,231) = ( 226 × 231) / 1
LCM(226,231) = 52206 / 1
LCM(226,231) = 52206
Related Least Common Multiples of 226
Related Least Common Multiples of 231
Frequently Asked Questions on LCM of 226 and 231
1. What is the LCM of 226 and 231?
The LCM of 226 and 231 is 52206.
2. How to find the lowest common multiple of 226 and 231?
To find the lowest common multiple of 226 and 231, we have to get the multip;es of both numbers and identify the least common multiple in them which is 52206.
3. What are the Factors of 226?
Answer: Factors of 226 are 1, 2, 113, 226. There are 4 integers that are factors of 226. The greatest factor of 226 is 226.
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 226 and 231?Answer:
Least Common Multiple of 226 and 231 = 52206
Step 1: Find the prime factorization of 226
226 = 2 x 113
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 = 52206 = 2 x 3 x 7 x 11 x 113
Step 4: Therefore, the least common multiple of 226 and 231 is 52206.