LCM of 241 and 245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 241 and 245 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 59045 as output. Here you can check the answer for Find the LCM of 241 and 245.
What is LCM of 241 and 245
Given Numbers are 241, 245
We can find the LCM of 241, 245 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 241 and 245
Multiples of 241 =241,482,723,964,1205,1446,1687,1928,2169,2410,2651,2892,3133,3374,3615,3856,4097,
Multiples of 245 =245,490,735,980,1225,1470,1715,1960,2205,2450,2695,2940,3185,3430,3675,3920,4165,
Now, get the least common multiple of 241, 245 which is 59045
So, the LCM of 241, 245 is 59045.
Least Common Multiple (LCM) of 241 and 245 with the help of Prime Factorisation
One method for determining the LCM of 241 and 245 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 245's prime factorization:
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 245 are 5,7.
245 = 51×72
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, 5,7
.51×72×2411 = 59045
This shows that the LCM of 241 and 245 is 59045.
How to Calculate the LCM of 241 and 245 Using Common Multiples
The first step in determining the Least Common Multiple of 241 and 245 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 241 and 245:
Lets look at the first ten multiples of these numbers, 241 and 245:
241,482,723,964,1205,1446,1687,1928,2169,4097 are the first ten multiples of 241.
245,490,735,980,1225,1470,1715,1960,2205,4165 are the first ten multiples of 245.
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 245, for example, are 2892, 4097, and 3920. 59045 is the least common multiple since it is the smallest.
241 and 245 have an LCM of 59045.
Least Common Multiple of 241 and 245 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 245, than apply into the LCM equation.
GCF(241,245) = 1
LCM(241,245) = ( 241 × 245) / 1
LCM(241,245) = 59045 / 1
LCM(241,245) = 59045
Related Least Common Multiples of 241
Related Least Common Multiples of 245
Frequently Asked Questions on LCM of 241 and 245
1. What is the LCM of 241 and 245?
The LCM of 241 and 245 is 59045.
2. How to find the lowest common multiple of 241 and 245?
To find the lowest common multiple of 241 and 245, we have to get the multip;es of both numbers and identify the least common multiple in them which is 59045.
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 245?
Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.
5. How to Find the LCM of 241 and 245?Answer:
Least Common Multiple of 241 and 245 = 59045
Step 1: Find the prime factorization of 241
241 = 241
Step 2: Find the prime factorization of 245
245 = 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59045 = 5 x 7 x 7 x 241
Step 4: Therefore, the least common multiple of 241 and 245 is 59045.