It is easy to find the LCM of 234 and 241 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 56394 as output. Here you can check the answer for Find the LCM of 234 and 241.
Given Numbers are 234, 241
We can find the LCM of 234, 241 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 234 and 241
Multiples of 234 =234,468,702,936,1170,1404,1638,1872,2106,2340,2574,2808,3042,3276,3510,3744,3978,
Multiples of 241 =241,482,723,964,1205,1446,1687,1928,2169,2410,2651,2892,3133,3374,3615,3856,4097,
Now, get the least common multiple of 234, 241 which is 56394
So, the LCM of 234, 241 is 56394.
One method for determining the LCM of 234 and 241 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 234's prime factorization:2 | 234 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 234 are 2, 3,13.
234 = 21×32×131
And this is 241's prime factorization:
241 | 241 |
1 |
Prime factors of 241 are 241.
241 = 2411
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, 3,13,241
.21×32×131×2411 = 56394
This shows that the LCM of 234 and 241 is 56394.
The first step in determining the Least Common Multiple of 234 and 241 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 234 and 241:
Lets look at the first ten multiples of these numbers, 234 and 241:
234,468,702,936,1170,1404,1638,1872,2106,3978 are the first ten multiples of 234.
241,482,723,964,1205,1446,1687,1928,2169,4097 are the first ten multiples of 241.
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 234 and 241, for example, are 2808, 3978, and 3856. 56394 is the least common multiple since it is the smallest.
234 and 241 have an LCM of 56394.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 234 and 241, than apply into the LCM equation.
GCF(234,241) = 1
LCM(234,241) = ( 234 × 241) / 1
LCM(234,241) = 56394 / 1
LCM(234,241) = 56394
1. What is the LCM of 234 and 241?
The LCM of 234 and 241 is 56394.
2. How to find the lowest common multiple of 234 and 241?
To find the lowest common multiple of 234 and 241, we have to get the multip;es of both numbers and identify the least common multiple in them which is 56394.
3. What are the Factors of 234?
Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.
4. What are the Factors of 241?
Answer: Factors of 241 are 1, 241. There are 2 integers that are factors of 241. The greatest factor of 241 is 241.
5. How to Find the LCM of 234 and 241?Answer:
Least Common Multiple of 234 and 241 = 56394
Step 1: Find the prime factorization of 234
234 = 2 x 3 x 3 x 13
Step 2: Find the prime factorization of 241
241 = 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56394 = 2 x 3 x 3 x 13 x 241
Step 4: Therefore, the least common multiple of 234 and 241 is 56394.