LCM of 235 and 240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 235 and 240 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 11280 as output. Here you can check the answer for Find the LCM of 235 and 240.
What is LCM of 235 and 240
Given Numbers are 235, 240
We can find the LCM of 235, 240 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 235 and 240
Multiples of 235 =235,470,705,940,1175,1410,1645,1880,2115,2350,2585,2820,3055,3290,3525,3760,3995,
Multiples of 240 =240,480,720,960,1200,1440,1680,1920,2160,2400,2640,2880,3120,3360,3600,3840,4080,
Now, get the least common multiple of 235, 240 which is 11280
So, the LCM of 235, 240 is 11280.
Least Common Multiple (LCM) of 235 and 240 with the help of Prime Factorisation
One method for determining the LCM of 235 and 240 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 240's prime factorization:
| 2 | 240 |
| 2 | 120 |
| 2 | 60 |
| 2 | 30 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 240 are 2, 3,5.
240 = 24×31×51
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, 2,3
.24×31×51×471 = 11280
This shows that the LCM of 235 and 240 is 11280.
How to Calculate the LCM of 235 and 240 Using Common Multiples
The first step in determining the Least Common Multiple of 235 and 240 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 235 and 240:
Lets look at the first ten multiples of these numbers, 235 and 240:
235,470,705,940,1175,1410,1645,1880,2115,3995 are the first ten multiples of 235.
240,480,720,960,1200,1440,1680,1920,2160,4080 are the first ten multiples of 240.
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 240, for example, are 2820, 3995, and 3840. 11280 is the least common multiple since it is the smallest.
235 and 240 have an LCM of 11280.
Least Common Multiple of 235 and 240 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 240, than apply into the LCM equation.
GCF(235,240) = 5
LCM(235,240) = ( 235 × 240) / 5
LCM(235,240) = 56400 / 5
LCM(235,240) = 11280
Related Least Common Multiples of 235
Related Least Common Multiples of 240
Frequently Asked Questions on LCM of 235 and 240
1. What is the LCM of 235 and 240?
The LCM of 235 and 240 is 11280.
2. How to find the lowest common multiple of 235 and 240?
To find the lowest common multiple of 235 and 240, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11280.
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 240?
Answer: Factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240. There are 20 integers that are factors of 240. The greatest factor of 240 is 240.
5. How to Find the LCM of 235 and 240?Answer:
Least Common Multiple of 235 and 240 = 11280
Step 1: Find the prime factorization of 235
235 = 5 x 47
Step 2: Find the prime factorization of 240
240 = 2 x 2 x 2 x 2 x 3 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11280 = 2 x 2 x 2 x 2 x 3 x 5 x 47
Step 4: Therefore, the least common multiple of 235 and 240 is 11280.