LCM of 482 and 486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 482 and 486 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 117126 as output. Here you can check the answer for Find the LCM of 482 and 486.
What is LCM of 482 and 486
Given Numbers are 482, 486
We can find the LCM of 482, 486 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 482 and 486
Multiples of 482 =482,964,1446,1928,2410,2892,3374,3856,4338,4820,5302,5784,6266,6748,7230,7712,8194,
Multiples of 486 =486,972,1458,1944,2430,2916,3402,3888,4374,4860,5346,5832,6318,6804,7290,7776,8262,
Now, get the least common multiple of 482, 486 which is 117126
So, the LCM of 482, 486 is 117126.
Least Common Multiple (LCM) of 482 and 486 with the help of Prime Factorisation
One method for determining the LCM of 482 and 486 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 482's prime factorization:
| 2 | 482 |
| 241 | 241 |
| 1 |
Prime factors of 482 are 2,241.
482 = 21×2411
And this is 486's prime factorization:
| 2 | 486 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 486 are 2,3.
486 = 21×35
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: 2,241,3
.21×35×2411 = 117126
This shows that the LCM of 482 and 486 is 117126.
How to Calculate the LCM of 482 and 486 Using Common Multiples
The first step in determining the Least Common Multiple of 482 and 486 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 482 and 486:
Lets look at the first ten multiples of these numbers, 482 and 486:
482,964,1446,1928,2410,2892,3374,3856,4338,8194 are the first ten multiples of 482.
486,972,1458,1944,2430,2916,3402,3888,4374,8262 are the first ten multiples of 486.
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 482 and 486, for example, are 5784, 8194, and 7776. 117126 is the least common multiple since it is the smallest.
482 and 486 have an LCM of 117126.
Least Common Multiple of 482 and 486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 482 and 486, than apply into the LCM equation.
GCF(482,486) = 2
LCM(482,486) = ( 482 × 486) / 2
LCM(482,486) = 234252 / 2
LCM(482,486) = 117126
Related Least Common Multiples of 482
Related Least Common Multiples of 486
Frequently Asked Questions on LCM of 482 and 486
1. What is the LCM of 482 and 486?
The LCM of 482 and 486 is 117126.
2. How to find the lowest common multiple of 482 and 486?
To find the lowest common multiple of 482 and 486, we have to get the multip;es of both numbers and identify the least common multiple in them which is 117126.
3. What are the Factors of 482?
Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.
4. What are the Factors of 486?
Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.
5. How to Find the LCM of 482 and 486?Answer:
Least Common Multiple of 482 and 486 = 117126
Step 1: Find the prime factorization of 482
482 = 2 x 241
Step 2: Find the prime factorization of 486
486 = 2 x 3 x 3 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 117126 = 2 x 3 x 3 x 3 x 3 x 3 x 241
Step 4: Therefore, the least common multiple of 482 and 486 is 117126.