LCM of 469 and 477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 469 and 477 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 223713 as output. Here you can check the answer for Find the LCM of 469 and 477.
What is LCM of 469 and 477
Given Numbers are 469, 477
We can find the LCM of 469, 477 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 469 and 477
Multiples of 469 =469,938,1407,1876,2345,2814,3283,3752,4221,4690,5159,5628,6097,6566,7035,7504,7973,
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 469, 477 which is 223713
So, the LCM of 469, 477 is 223713.
Least Common Multiple (LCM) of 469 and 477 with the help of Prime Factorisation
One method for determining the LCM of 469 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 469's prime factorization:
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 469 are 7,67.
469 = 71×671
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: 7,67, 3,53
.32×71×531×671 = 223713
This shows that the LCM of 469 and 477 is 223713.
How to Calculate the LCM of 469 and 477 Using Common Multiples
The first step in determining the Least Common Multiple of 469 and 477 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 469 and 477:
Lets look at the first ten multiples of these numbers, 469 and 477:
469,938,1407,1876,2345,2814,3283,3752,4221,7973 are the first ten multiples of 469.
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 469 and 477, for example, are 5628, 7973, and 7632. 223713 is the least common multiple since it is the smallest.
469 and 477 have an LCM of 223713.
Least Common Multiple of 469 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 469 and 477, than apply into the LCM equation.
GCF(469,477) = 1
LCM(469,477) = ( 469 × 477) / 1
LCM(469,477) = 223713 / 1
LCM(469,477) = 223713
Related Least Common Multiples of 469
Related Least Common Multiples of 477
Frequently Asked Questions on LCM of 469 and 477
1. What is the LCM of 469 and 477?
The LCM of 469 and 477 is 223713.
2. How to find the lowest common multiple of 469 and 477?
To find the lowest common multiple of 469 and 477, we have to get the multip;es of both numbers and identify the least common multiple in them which is 223713.
3. What are the Factors of 469?
Answer: Factors of 469 are 1, 7, 67, 469. There are 4 integers that are factors of 469. The greatest factor of 469 is 469.
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 469 and 477?Answer:
Least Common Multiple of 469 and 477 = 223713
Step 1: Find the prime factorization of 469
469 = 7 x 67
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 = 223713 = 3 x 3 x 7 x 53 x 67
Step 4: Therefore, the least common multiple of 469 and 477 is 223713.