LCM of 277 and 285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 277 and 285 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 78945 as output. Here you can check the answer for Find the LCM of 277 and 285.
What is LCM of 277 and 285
Given Numbers are 277, 285
We can find the LCM of 277, 285 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 277 and 285
Multiples of 277 =277,554,831,1108,1385,1662,1939,2216,2493,2770,3047,3324,3601,3878,4155,4432,4709,
Multiples of 285 =285,570,855,1140,1425,1710,1995,2280,2565,2850,3135,3420,3705,3990,4275,4560,4845,
Now, get the least common multiple of 277, 285 which is 78945
So, the LCM of 277, 285 is 78945.
Least Common Multiple (LCM) of 277 and 285 with the help of Prime Factorisation
One method for determining the LCM of 277 and 285 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 277's prime factorization:
| 277 | 277 |
| 1 |
Prime factors of 277 are 277.
277 = 2771
And this is 285's prime factorization:
| 3 | 285 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 285 are 3, 5,19.
285 = 31×51×191
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:277, 3, 5,19
.31×51×191×2771 = 78945
This shows that the LCM of 277 and 285 is 78945.
How to Calculate the LCM of 277 and 285 Using Common Multiples
The first step in determining the Least Common Multiple of 277 and 285 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 277 and 285:
Lets look at the first ten multiples of these numbers, 277 and 285:
277,554,831,1108,1385,1662,1939,2216,2493,4709 are the first ten multiples of 277.
285,570,855,1140,1425,1710,1995,2280,2565,4845 are the first ten multiples of 285.
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 277 and 285, for example, are 3324, 4709, and 4560. 78945 is the least common multiple since it is the smallest.
277 and 285 have an LCM of 78945.
Least Common Multiple of 277 and 285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 277 and 285, than apply into the LCM equation.
GCF(277,285) = 1
LCM(277,285) = ( 277 × 285) / 1
LCM(277,285) = 78945 / 1
LCM(277,285) = 78945
Related Least Common Multiples of 277
Related Least Common Multiples of 285
Frequently Asked Questions on LCM of 277 and 285
1. What is the LCM of 277 and 285?
The LCM of 277 and 285 is 78945.
2. How to find the lowest common multiple of 277 and 285?
To find the lowest common multiple of 277 and 285, we have to get the multip;es of both numbers and identify the least common multiple in them which is 78945.
3. What are the Factors of 277?
Answer: Factors of 277 are 1, 277. There are 2 integers that are factors of 277. The greatest factor of 277 is 277.
4. What are the Factors of 285?
Answer: Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. There are 8 integers that are factors of 285. The greatest factor of 285 is 285.
5. How to Find the LCM of 277 and 285?Answer:
Least Common Multiple of 277 and 285 = 78945
Step 1: Find the prime factorization of 277
277 = 277
Step 2: Find the prime factorization of 285
285 = 3 x 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 78945 = 3 x 5 x 19 x 277
Step 4: Therefore, the least common multiple of 277 and 285 is 78945.