LCM of 51 and 57
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 51 and 57 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 969 as output. Here you can check the answer for Find the LCM of 51 and 57.
What is LCM of 51 and 57
Given Numbers are 51, 57
We can find the LCM of 51, 57 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 51 and 57
Multiples of 51 =51,102,153,204,255,306,357,408,459,510,561,612,663,714,765,816,867,
Multiples of 57 =57,114,171,228,285,342,399,456,513,570,627,684,741,798,855,912,969,
Now, get the least common multiple of 51, 57 which is 969
So, the LCM of 51, 57 is 969.
Least Common Multiple (LCM) of 51 and 57 with the help of Prime Factorisation
One method for determining the LCM of 51 and 57 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 51's prime factorization:
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 51 are 3,17.
51 = 31×171
And this is 57's prime factorization:
| 3 | 57 |
| 19 | 19 |
| 1 |
Prime factors of 57 are 3,19.
57 = 31×191
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: 3,17,19
.31×171×191 = 969
This shows that the LCM of 51 and 57 is 969.
How to Calculate the LCM of 51 and 57 Using Common Multiples
The first step in determining the Least Common Multiple of 51 and 57 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 51 and 57:
Lets look at the first ten multiples of these numbers, 51 and 57:
51,102,153,204,255,306,357,408,459,867 are the first ten multiples of 51.
57,114,171,228,285,342,399,456,513,969 are the first ten multiples of 57.
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 51 and 57, for example, are 612, 867, and 912. 969 is the least common multiple since it is the smallest.
51 and 57 have an LCM of 969.
Least Common Multiple of 51 and 57 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51 and 57, than apply into the LCM equation.
GCF(51,57) = 3
LCM(51,57) = ( 51 × 57) / 3
LCM(51,57) = 2907 / 3
LCM(51,57) = 969
Related Least Common Multiples of 51
Related Least Common Multiples of 57
Frequently Asked Questions on LCM of 51 and 57
1. What is the LCM of 51 and 57?
The LCM of 51 and 57 is 969.
2. How to find the lowest common multiple of 51 and 57?
To find the lowest common multiple of 51 and 57, we have to get the multip;es of both numbers and identify the least common multiple in them which is 969.
3. What are the Factors of 51?
Answer: Factors of 51 are 1, 3, 17, 51. There are 4 integers that are factors of 51. The greatest factor of 51 is 51.
4. What are the Factors of 57?
Answer: Factors of 57 are 1, 3, 19, 57. There are 4 integers that are factors of 57. The greatest factor of 57 is 57.
5. How to Find the LCM of 51 and 57?Answer:
Least Common Multiple of 51 and 57 = 969
Step 1: Find the prime factorization of 51
51 = 3 x 17
Step 2: Find the prime factorization of 57
57 = 3 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 = 969 = 3 x 17 x 19
Step 4: Therefore, the least common multiple of 51 and 57 is 969.