It is easy to find the LCM of 231 and 239 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 55209 as output. Here you can check the answer for Find the LCM of 231 and 239.
Given Numbers are 231, 239
We can find the LCM of 231, 239 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 231 and 239
Multiples of 231 =231,462,693,924,1155,1386,1617,1848,2079,2310,2541,2772,3003,3234,3465,3696,3927,
Multiples of 239 =239,478,717,956,1195,1434,1673,1912,2151,2390,2629,2868,3107,3346,3585,3824,4063,
Now, get the least common multiple of 231, 239 which is 55209
So, the LCM of 231, 239 is 55209.
One method for determining the LCM of 231 and 239 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 231's prime factorization:3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 231 are 3, 7,11.
231 = 31×71×111
And this is 239's prime factorization:
239 | 239 |
1 |
Prime factors of 239 are 239.
239 = 2391
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, 7,11,239
.31×71×111×2391 = 55209
This shows that the LCM of 231 and 239 is 55209.
The first step in determining the Least Common Multiple of 231 and 239 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 231 and 239:
Lets look at the first ten multiples of these numbers, 231 and 239:
231,462,693,924,1155,1386,1617,1848,2079,3927 are the first ten multiples of 231.
239,478,717,956,1195,1434,1673,1912,2151,4063 are the first ten multiples of 239.
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 231 and 239, for example, are 2772, 3927, and 3824. 55209 is the least common multiple since it is the smallest.
231 and 239 have an LCM of 55209.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 231 and 239, than apply into the LCM equation.
GCF(231,239) = 1
LCM(231,239) = ( 231 × 239) / 1
LCM(231,239) = 55209 / 1
LCM(231,239) = 55209
1. What is the LCM of 231 and 239?
The LCM of 231 and 239 is 55209.
2. How to find the lowest common multiple of 231 and 239?
To find the lowest common multiple of 231 and 239, we have to get the multip;es of both numbers and identify the least common multiple in them which is 55209.
3. 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.
4. What are the Factors of 239?
Answer: Factors of 239 are 1, 239. There are 2 integers that are factors of 239. The greatest factor of 239 is 239.
5. How to Find the LCM of 231 and 239?Answer:
Least Common Multiple of 231 and 239 = 55209
Step 1: Find the prime factorization of 231
231 = 3 x 7 x 11
Step 2: Find the prime factorization of 239
239 = 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55209 = 3 x 7 x 11 x 239
Step 4: Therefore, the least common multiple of 231 and 239 is 55209.