LCM of 249 and 255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 249 and 255 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 21165 as output. Here you can check the answer for Find the LCM of 249 and 255.
What is LCM of 249 and 255
Given Numbers are 249, 255
We can find the LCM of 249, 255 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 249 and 255
Multiples of 249 =249,498,747,996,1245,1494,1743,1992,2241,2490,2739,2988,3237,3486,3735,3984,4233,
Multiples of 255 =255,510,765,1020,1275,1530,1785,2040,2295,2550,2805,3060,3315,3570,3825,4080,4335,
Now, get the least common multiple of 249, 255 which is 21165
So, the LCM of 249, 255 is 21165.
Least Common Multiple (LCM) of 249 and 255 with the help of Prime Factorisation
One method for determining the LCM of 249 and 255 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 249's prime factorization:
| 3 | 249 |
| 83 | 83 |
| 1 |
Prime factors of 249 are 3,83.
249 = 31×831
And this is 255's prime factorization:
| 3 | 255 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 255 are 3, 5,17.
255 = 31×51×171
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: 3,83, 5,17
.31×51×171×831 = 21165
This shows that the LCM of 249 and 255 is 21165.
How to Calculate the LCM of 249 and 255 Using Common Multiples
The first step in determining the Least Common Multiple of 249 and 255 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 249 and 255:
Lets look at the first ten multiples of these numbers, 249 and 255:
249,498,747,996,1245,1494,1743,1992,2241,4233 are the first ten multiples of 249.
255,510,765,1020,1275,1530,1785,2040,2295,4335 are the first ten multiples of 255.
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 249 and 255, for example, are 2988, 4233, and 4080. 21165 is the least common multiple since it is the smallest.
249 and 255 have an LCM of 21165.
Least Common Multiple of 249 and 255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 249 and 255, than apply into the LCM equation.
GCF(249,255) = 3
LCM(249,255) = ( 249 × 255) / 3
LCM(249,255) = 63495 / 3
LCM(249,255) = 21165
Related Least Common Multiples of 249
Related Least Common Multiples of 255
Frequently Asked Questions on LCM of 249 and 255
1. What is the LCM of 249 and 255?
The LCM of 249 and 255 is 21165.
2. How to find the lowest common multiple of 249 and 255?
To find the lowest common multiple of 249 and 255, we have to get the multip;es of both numbers and identify the least common multiple in them which is 21165.
3. 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.
4. What are the Factors of 255?
Answer: Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. There are 8 integers that are factors of 255. The greatest factor of 255 is 255.
5. How to Find the LCM of 249 and 255?Answer:
Least Common Multiple of 249 and 255 = 21165
Step 1: Find the prime factorization of 249
249 = 3 x 83
Step 2: Find the prime factorization of 255
255 = 3 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21165 = 3 x 5 x 17 x 83
Step 4: Therefore, the least common multiple of 249 and 255 is 21165.