LCM of 225 and 230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 225 and 230 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 10350 as output. Here you can check the answer for Find the LCM of 225 and 230.
What is LCM of 225 and 230
Given Numbers are 225, 230
We can find the LCM of 225, 230 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 225 and 230
Multiples of 225 =225,450,675,900,1125,1350,1575,1800,2025,2250,2475,2700,2925,3150,3375,3600,3825,
Multiples of 230 =230,460,690,920,1150,1380,1610,1840,2070,2300,2530,2760,2990,3220,3450,3680,3910,
Now, get the least common multiple of 225, 230 which is 10350
So, the LCM of 225, 230 is 10350.
Least Common Multiple (LCM) of 225 and 230 with the help of Prime Factorisation
One method for determining the LCM of 225 and 230 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 230's prime factorization:
| 2 | 230 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 230 are 2, 5,23.
230 = 21×51×231
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, 2,23
.21×32×52×231 = 10350
This shows that the LCM of 225 and 230 is 10350.
How to Calculate the LCM of 225 and 230 Using Common Multiples
The first step in determining the Least Common Multiple of 225 and 230 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 225 and 230:
Lets look at the first ten multiples of these numbers, 225 and 230:
225,450,675,900,1125,1350,1575,1800,2025,3825 are the first ten multiples of 225.
230,460,690,920,1150,1380,1610,1840,2070,3910 are the first ten multiples of 230.
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 230, for example, are 2700, 3825, and 3680. 10350 is the least common multiple since it is the smallest.
225 and 230 have an LCM of 10350.
Least Common Multiple of 225 and 230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 225 and 230, than apply into the LCM equation.
GCF(225,230) = 5
LCM(225,230) = ( 225 × 230) / 5
LCM(225,230) = 51750 / 5
LCM(225,230) = 10350
Related Least Common Multiples of 225
Related Least Common Multiples of 230
Frequently Asked Questions on LCM of 225 and 230
1. What is the LCM of 225 and 230?
The LCM of 225 and 230 is 10350.
2. How to find the lowest common multiple of 225 and 230?
To find the lowest common multiple of 225 and 230, we have to get the multip;es of both numbers and identify the least common multiple in them which is 10350.
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 230?
Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.
5. How to Find the LCM of 225 and 230?Answer:
Least Common Multiple of 225 and 230 = 10350
Step 1: Find the prime factorization of 225
225 = 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 230
230 = 2 x 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10350 = 2 x 3 x 3 x 5 x 5 x 23
Step 4: Therefore, the least common multiple of 225 and 230 is 10350.