It is easy to find the LCM of 225 and 232 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 52200 as output. Here you can check the answer for Find the LCM of 225 and 232.
Given Numbers are 225, 232
We can find the LCM of 225, 232 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 225 and 232
Multiples of 225 =225,450,675,900,1125,1350,1575,1800,2025,2250,2475,2700,2925,3150,3375,3600,3825,
Multiples of 232 =232,464,696,928,1160,1392,1624,1856,2088,2320,2552,2784,3016,3248,3480,3712,3944,
Now, get the least common multiple of 225, 232 which is 52200
So, the LCM of 225, 232 is 52200.
One method for determining the LCM of 225 and 232 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 225's prime factorization:3 | 225 |
3 | 75 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 225 are 3,5.
225 = 32×52
And this is 232's prime factorization:
2 | 232 |
2 | 116 |
2 | 58 |
29 | 29 |
1 |
Prime factors of 232 are 2,29.
232 = 23×291
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: 3,5, 2,29
.23×32×52×291 = 52200
This shows that the LCM of 225 and 232 is 52200.
The first step in determining the Least Common Multiple of 225 and 232 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 225 and 232:
Lets look at the first ten multiples of these numbers, 225 and 232:
225,450,675,900,1125,1350,1575,1800,2025,3825 are the first ten multiples of 225.
232,464,696,928,1160,1392,1624,1856,2088,3944 are the first ten multiples of 232.
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 225 and 232, for example, are 2700, 3825, and 3712. 52200 is the least common multiple since it is the smallest.
225 and 232 have an LCM of 52200.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 225 and 232, than apply into the LCM equation.
GCF(225,232) = 1
LCM(225,232) = ( 225 × 232) / 1
LCM(225,232) = 52200 / 1
LCM(225,232) = 52200
1. What is the LCM of 225 and 232?
The LCM of 225 and 232 is 52200.
2. How to find the lowest common multiple of 225 and 232?
To find the lowest common multiple of 225 and 232, we have to get the multip;es of both numbers and identify the least common multiple in them which is 52200.
3. What are the Factors of 225?
Answer: Factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. There are 9 integers that are factors of 225. The greatest factor of 225 is 225.
4. What are the Factors of 232?
Answer: Factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232. There are 8 integers that are factors of 232. The greatest factor of 232 is 232.
5. How to Find the LCM of 225 and 232?Answer:
Least Common Multiple of 225 and 232 = 52200
Step 1: Find the prime factorization of 225
225 = 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 232
232 = 2 x 2 x 2 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 29
Step 4: Therefore, the least common multiple of 225 and 232 is 52200.