LCM of 241 and 248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 241 and 248 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 59768 as output. Here you can check the answer for Find the LCM of 241 and 248.
What is LCM of 241 and 248
Given Numbers are 241, 248
We can find the LCM of 241, 248 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 241 and 248
Multiples of 241 =241,482,723,964,1205,1446,1687,1928,2169,2410,2651,2892,3133,3374,3615,3856,4097,
Multiples of 248 =248,496,744,992,1240,1488,1736,1984,2232,2480,2728,2976,3224,3472,3720,3968,4216,
Now, get the least common multiple of 241, 248 which is 59768
So, the LCM of 241, 248 is 59768.
Least Common Multiple (LCM) of 241 and 248 with the help of Prime Factorisation
One method for determining the LCM of 241 and 248 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 241's prime factorization:
| 241 | 241 |
| 1 |
Prime factors of 241 are 241.
241 = 2411
And this is 248's prime factorization:
| 2 | 248 |
| 2 | 124 |
| 2 | 62 |
| 31 | 31 |
| 1 |
Prime factors of 248 are 2,31.
248 = 23×311
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:241, 2,31
.23×311×2411 = 59768
This shows that the LCM of 241 and 248 is 59768.
How to Calculate the LCM of 241 and 248 Using Common Multiples
The first step in determining the Least Common Multiple of 241 and 248 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 241 and 248:
Lets look at the first ten multiples of these numbers, 241 and 248:
241,482,723,964,1205,1446,1687,1928,2169,4097 are the first ten multiples of 241.
248,496,744,992,1240,1488,1736,1984,2232,4216 are the first ten multiples of 248.
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 241 and 248, for example, are 2892, 4097, and 3968. 59768 is the least common multiple since it is the smallest.
241 and 248 have an LCM of 59768.
Least Common Multiple of 241 and 248 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 241 and 248, than apply into the LCM equation.
GCF(241,248) = 1
LCM(241,248) = ( 241 × 248) / 1
LCM(241,248) = 59768 / 1
LCM(241,248) = 59768
Related Least Common Multiples of 241
Related Least Common Multiples of 248
Frequently Asked Questions on LCM of 241 and 248
1. What is the LCM of 241 and 248?
The LCM of 241 and 248 is 59768.
2. How to find the lowest common multiple of 241 and 248?
To find the lowest common multiple of 241 and 248, we have to get the multip;es of both numbers and identify the least common multiple in them which is 59768.
3. What are the Factors of 241?
Answer: Factors of 241 are 1, 241. There are 2 integers that are factors of 241. The greatest factor of 241 is 241.
4. What are the Factors of 248?
Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.
5. How to Find the LCM of 241 and 248?Answer:
Least Common Multiple of 241 and 248 = 59768
Step 1: Find the prime factorization of 241
241 = 241
Step 2: Find the prime factorization of 248
248 = 2 x 2 x 2 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59768 = 2 x 2 x 2 x 31 x 241
Step 4: Therefore, the least common multiple of 241 and 248 is 59768.