LCM of 237 and 242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 237 and 242 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 57354 as output. Here you can check the answer for Find the LCM of 237 and 242.
What is LCM of 237 and 242
Given Numbers are 237, 242
We can find the LCM of 237, 242 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 237 and 242
Multiples of 237 =237,474,711,948,1185,1422,1659,1896,2133,2370,2607,2844,3081,3318,3555,3792,4029,
Multiples of 242 =242,484,726,968,1210,1452,1694,1936,2178,2420,2662,2904,3146,3388,3630,3872,4114,
Now, get the least common multiple of 237, 242 which is 57354
So, the LCM of 237, 242 is 57354.
Least Common Multiple (LCM) of 237 and 242 with the help of Prime Factorisation
One method for determining the LCM of 237 and 242 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 237's prime factorization:
| 3 | 237 |
| 79 | 79 |
| 1 |
Prime factors of 237 are 3,79.
237 = 31×791
And this is 242's prime factorization:
| 2 | 242 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 242 are 2,11.
242 = 21×112
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: 3,79, 2,11
.21×31×112×791 = 57354
This shows that the LCM of 237 and 242 is 57354.
How to Calculate the LCM of 237 and 242 Using Common Multiples
The first step in determining the Least Common Multiple of 237 and 242 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 237 and 242:
Lets look at the first ten multiples of these numbers, 237 and 242:
237,474,711,948,1185,1422,1659,1896,2133,4029 are the first ten multiples of 237.
242,484,726,968,1210,1452,1694,1936,2178,4114 are the first ten multiples of 242.
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 237 and 242, for example, are 2844, 4029, and 3872. 57354 is the least common multiple since it is the smallest.
237 and 242 have an LCM of 57354.
Least Common Multiple of 237 and 242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 237 and 242, than apply into the LCM equation.
GCF(237,242) = 1
LCM(237,242) = ( 237 × 242) / 1
LCM(237,242) = 57354 / 1
LCM(237,242) = 57354
Related Least Common Multiples of 237
Related Least Common Multiples of 242
Frequently Asked Questions on LCM of 237 and 242
1. What is the LCM of 237 and 242?
The LCM of 237 and 242 is 57354.
2. How to find the lowest common multiple of 237 and 242?
To find the lowest common multiple of 237 and 242, we have to get the multip;es of both numbers and identify the least common multiple in them which is 57354.
3. What are the Factors of 237?
Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.
4. What are the Factors of 242?
Answer: Factors of 242 are 1, 2, 11, 22, 121, 242. There are 6 integers that are factors of 242. The greatest factor of 242 is 242.
5. How to Find the LCM of 237 and 242?Answer:
Least Common Multiple of 237 and 242 = 57354
Step 1: Find the prime factorization of 237
237 = 3 x 79
Step 2: Find the prime factorization of 242
242 = 2 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57354 = 2 x 3 x 11 x 11 x 79
Step 4: Therefore, the least common multiple of 237 and 242 is 57354.