LCM of 245 and 249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 245 and 249 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 61005 as output. Here you can check the answer for Find the LCM of 245 and 249.
What is LCM of 245 and 249
Given Numbers are 245, 249
We can find the LCM of 245, 249 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 245 and 249
Multiples of 245 =245,490,735,980,1225,1470,1715,1960,2205,2450,2695,2940,3185,3430,3675,3920,4165,
Multiples of 249 =249,498,747,996,1245,1494,1743,1992,2241,2490,2739,2988,3237,3486,3735,3984,4233,
Now, get the least common multiple of 245, 249 which is 61005
So, the LCM of 245, 249 is 61005.
Least Common Multiple (LCM) of 245 and 249 with the help of Prime Factorisation
One method for determining the LCM of 245 and 249 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 245's prime factorization:
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 245 are 5,7.
245 = 51×72
And this is 249's prime factorization:
| 3 | 249 |
| 83 | 83 |
| 1 |
Prime factors of 249 are 3,83.
249 = 31×831
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: 5,7, 3,83
.31×51×72×831 = 61005
This shows that the LCM of 245 and 249 is 61005.
How to Calculate the LCM of 245 and 249 Using Common Multiples
The first step in determining the Least Common Multiple of 245 and 249 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 245 and 249:
Lets look at the first ten multiples of these numbers, 245 and 249:
245,490,735,980,1225,1470,1715,1960,2205,4165 are the first ten multiples of 245.
249,498,747,996,1245,1494,1743,1992,2241,4233 are the first ten multiples of 249.
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 245 and 249, for example, are 2940, 4165, and 3984. 61005 is the least common multiple since it is the smallest.
245 and 249 have an LCM of 61005.
Least Common Multiple of 245 and 249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 245 and 249, than apply into the LCM equation.
GCF(245,249) = 1
LCM(245,249) = ( 245 × 249) / 1
LCM(245,249) = 61005 / 1
LCM(245,249) = 61005
Related Least Common Multiples of 245
Related Least Common Multiples of 249
Frequently Asked Questions on LCM of 245 and 249
1. What is the LCM of 245 and 249?
The LCM of 245 and 249 is 61005.
2. How to find the lowest common multiple of 245 and 249?
To find the lowest common multiple of 245 and 249, we have to get the multip;es of both numbers and identify the least common multiple in them which is 61005.
3. 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.
4. What are the Factors of 249?
Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.
5. How to Find the LCM of 245 and 249?Answer:
Least Common Multiple of 245 and 249 = 61005
Step 1: Find the prime factorization of 245
245 = 5 x 7 x 7
Step 2: Find the prime factorization of 249
249 = 3 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61005 = 3 x 5 x 7 x 7 x 83
Step 4: Therefore, the least common multiple of 245 and 249 is 61005.