LCM of 471 and 477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 471 and 477 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 74889 as output. Here you can check the answer for Find the LCM of 471 and 477.
What is LCM of 471 and 477
Given Numbers are 471, 477
We can find the LCM of 471, 477 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 471 and 477
Multiples of 471 =471,942,1413,1884,2355,2826,3297,3768,4239,4710,5181,5652,6123,6594,7065,7536,8007,
Multiples of 477 =477,954,1431,1908,2385,2862,3339,3816,4293,4770,5247,5724,6201,6678,7155,7632,8109,
Now, get the least common multiple of 471, 477 which is 74889
So, the LCM of 471, 477 is 74889.
Least Common Multiple (LCM) of 471 and 477 with the help of Prime Factorisation
One method for determining the LCM of 471 and 477 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 471's prime factorization:
| 3 | 471 |
| 157 | 157 |
| 1 |
Prime factors of 471 are 3,157.
471 = 31×1571
And this is 477's prime factorization:
| 3 | 477 |
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 477 are 3,53.
477 = 32×531
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: 3,157,53
.32×531×1571 = 74889
This shows that the LCM of 471 and 477 is 74889.
How to Calculate the LCM of 471 and 477 Using Common Multiples
The first step in determining the Least Common Multiple of 471 and 477 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 471 and 477:
Lets look at the first ten multiples of these numbers, 471 and 477:
471,942,1413,1884,2355,2826,3297,3768,4239,8007 are the first ten multiples of 471.
477,954,1431,1908,2385,2862,3339,3816,4293,8109 are the first ten multiples of 477.
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 471 and 477, for example, are 5652, 8007, and 7632. 74889 is the least common multiple since it is the smallest.
471 and 477 have an LCM of 74889.
Least Common Multiple of 471 and 477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 471 and 477, than apply into the LCM equation.
GCF(471,477) = 3
LCM(471,477) = ( 471 × 477) / 3
LCM(471,477) = 224667 / 3
LCM(471,477) = 74889
Related Least Common Multiples of 471
Related Least Common Multiples of 477
Frequently Asked Questions on LCM of 471 and 477
1. What is the LCM of 471 and 477?
The LCM of 471 and 477 is 74889.
2. How to find the lowest common multiple of 471 and 477?
To find the lowest common multiple of 471 and 477, we have to get the multip;es of both numbers and identify the least common multiple in them which is 74889.
3. What are the Factors of 471?
Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.
4. What are the Factors of 477?
Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.
5. How to Find the LCM of 471 and 477?Answer:
Least Common Multiple of 471 and 477 = 74889
Step 1: Find the prime factorization of 471
471 = 3 x 157
Step 2: Find the prime factorization of 477
477 = 3 x 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74889 = 3 x 3 x 53 x 157
Step 4: Therefore, the least common multiple of 471 and 477 is 74889.