LCM of 235 and 243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 235 and 243 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 57105 as output. Here you can check the answer for Find the LCM of 235 and 243.
What is LCM of 235 and 243
Given Numbers are 235, 243
We can find the LCM of 235, 243 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 235 and 243
Multiples of 235 =235,470,705,940,1175,1410,1645,1880,2115,2350,2585,2820,3055,3290,3525,3760,3995,
Multiples of 243 =243,486,729,972,1215,1458,1701,1944,2187,2430,2673,2916,3159,3402,3645,3888,4131,
Now, get the least common multiple of 235, 243 which is 57105
So, the LCM of 235, 243 is 57105.
Least Common Multiple (LCM) of 235 and 243 with the help of Prime Factorisation
One method for determining the LCM of 235 and 243 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 235's prime factorization:
| 5 | 235 |
| 47 | 47 |
| 1 |
Prime factors of 235 are 5,47.
235 = 51×471
And this is 243's prime factorization:
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 243 are 3.
243 = 35
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: 5,47,3
.35×51×471 = 57105
This shows that the LCM of 235 and 243 is 57105.
How to Calculate the LCM of 235 and 243 Using Common Multiples
The first step in determining the Least Common Multiple of 235 and 243 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 235 and 243:
Lets look at the first ten multiples of these numbers, 235 and 243:
235,470,705,940,1175,1410,1645,1880,2115,3995 are the first ten multiples of 235.
243,486,729,972,1215,1458,1701,1944,2187,4131 are the first ten multiples of 243.
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 235 and 243, for example, are 2820, 3995, and 3888. 57105 is the least common multiple since it is the smallest.
235 and 243 have an LCM of 57105.
Least Common Multiple of 235 and 243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 235 and 243, than apply into the LCM equation.
GCF(235,243) = 1
LCM(235,243) = ( 235 × 243) / 1
LCM(235,243) = 57105 / 1
LCM(235,243) = 57105
Related Least Common Multiples of 235
Related Least Common Multiples of 243
Frequently Asked Questions on LCM of 235 and 243
1. What is the LCM of 235 and 243?
The LCM of 235 and 243 is 57105.
2. How to find the lowest common multiple of 235 and 243?
To find the lowest common multiple of 235 and 243, we have to get the multip;es of both numbers and identify the least common multiple in them which is 57105.
3. What are the Factors of 235?
Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.
4. What are the Factors of 243?
Answer: Factors of 243 are 1, 3, 9, 27, 81, 243. There are 6 integers that are factors of 243. The greatest factor of 243 is 243.
5. How to Find the LCM of 235 and 243?Answer:
Least Common Multiple of 235 and 243 = 57105
Step 1: Find the prime factorization of 235
235 = 5 x 47
Step 2: Find the prime factorization of 243
243 = 3 x 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57105 = 3 x 3 x 3 x 3 x 3 x 5 x 47
Step 4: Therefore, the least common multiple of 235 and 243 is 57105.