LCM of 477 and 484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 477 and 484 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 230868 as output. Here you can check the answer for Find the LCM of 477 and 484.
What is LCM of 477 and 484
Given Numbers are 477, 484
We can find the LCM of 477, 484 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 477 and 484
Multiples of 477 =477,954,1431,1908,2385,2862,3339,3816,4293,4770,5247,5724,6201,6678,7155,7632,8109,
Multiples of 484 =484,968,1452,1936,2420,2904,3388,3872,4356,4840,5324,5808,6292,6776,7260,7744,8228,
Now, get the least common multiple of 477, 484 which is 230868
So, the LCM of 477, 484 is 230868.
Least Common Multiple (LCM) of 477 and 484 with the help of Prime Factorisation
One method for determining the LCM of 477 and 484 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 477's prime factorization:
| 3 | 477 |
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 477 are 3,53.
477 = 32×531
And this is 484's prime factorization:
| 2 | 484 |
| 2 | 242 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 484 are 2,11.
484 = 22×112
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: 3,53, 2,11
.22×32×112×531 = 230868
This shows that the LCM of 477 and 484 is 230868.
How to Calculate the LCM of 477 and 484 Using Common Multiples
The first step in determining the Least Common Multiple of 477 and 484 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 477 and 484:
Lets look at the first ten multiples of these numbers, 477 and 484:
477,954,1431,1908,2385,2862,3339,3816,4293,8109 are the first ten multiples of 477.
484,968,1452,1936,2420,2904,3388,3872,4356,8228 are the first ten multiples of 484.
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 477 and 484, for example, are 5724, 8109, and 7744. 230868 is the least common multiple since it is the smallest.
477 and 484 have an LCM of 230868.
Least Common Multiple of 477 and 484 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 477 and 484, than apply into the LCM equation.
GCF(477,484) = 1
LCM(477,484) = ( 477 × 484) / 1
LCM(477,484) = 230868 / 1
LCM(477,484) = 230868
Related Least Common Multiples of 477
Related Least Common Multiples of 484
Frequently Asked Questions on LCM of 477 and 484
1. What is the LCM of 477 and 484?
The LCM of 477 and 484 is 230868.
2. How to find the lowest common multiple of 477 and 484?
To find the lowest common multiple of 477 and 484, we have to get the multip;es of both numbers and identify the least common multiple in them which is 230868.
3. 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.
4. What are the Factors of 484?
Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.
5. How to Find the LCM of 477 and 484?Answer:
Least Common Multiple of 477 and 484 = 230868
Step 1: Find the prime factorization of 477
477 = 3 x 3 x 53
Step 2: Find the prime factorization of 484
484 = 2 x 2 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230868 = 2 x 2 x 3 x 3 x 11 x 11 x 53
Step 4: Therefore, the least common multiple of 477 and 484 is 230868.