LCM of 463 and 468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 463 and 468 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 216684 as output. Here you can check the answer for Find the LCM of 463 and 468.
What is LCM of 463 and 468
Given Numbers are 463, 468
We can find the LCM of 463, 468 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 463 and 468
Multiples of 463 =463,926,1389,1852,2315,2778,3241,3704,4167,4630,5093,5556,6019,6482,6945,7408,7871,
Multiples of 468 =468,936,1404,1872,2340,2808,3276,3744,4212,4680,5148,5616,6084,6552,7020,7488,7956,
Now, get the least common multiple of 463, 468 which is 216684
So, the LCM of 463, 468 is 216684.
Least Common Multiple (LCM) of 463 and 468 with the help of Prime Factorisation
One method for determining the LCM of 463 and 468 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 463's prime factorization:
| 463 | 463 |
| 1 |
Prime factors of 463 are 463.
463 = 4631
And this is 468's prime factorization:
| 2 | 468 |
| 2 | 234 |
| 3 | 117 |
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 468 are 2, 3,13.
468 = 22×32×131
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:463, 2, 3,13
.22×32×131×4631 = 216684
This shows that the LCM of 463 and 468 is 216684.
How to Calculate the LCM of 463 and 468 Using Common Multiples
The first step in determining the Least Common Multiple of 463 and 468 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 463 and 468:
Lets look at the first ten multiples of these numbers, 463 and 468:
463,926,1389,1852,2315,2778,3241,3704,4167,7871 are the first ten multiples of 463.
468,936,1404,1872,2340,2808,3276,3744,4212,7956 are the first ten multiples of 468.
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 463 and 468, for example, are 5556, 7871, and 7488. 216684 is the least common multiple since it is the smallest.
463 and 468 have an LCM of 216684.
Least Common Multiple of 463 and 468 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 463 and 468, than apply into the LCM equation.
GCF(463,468) = 1
LCM(463,468) = ( 463 × 468) / 1
LCM(463,468) = 216684 / 1
LCM(463,468) = 216684
Related Least Common Multiples of 463
Related Least Common Multiples of 468
Frequently Asked Questions on LCM of 463 and 468
1. What is the LCM of 463 and 468?
The LCM of 463 and 468 is 216684.
2. How to find the lowest common multiple of 463 and 468?
To find the lowest common multiple of 463 and 468, we have to get the multip;es of both numbers and identify the least common multiple in them which is 216684.
3. What are the Factors of 463?
Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.
4. What are the Factors of 468?
Answer: Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. There are 18 integers that are factors of 468. The greatest factor of 468 is 468.
5. How to Find the LCM of 463 and 468?Answer:
Least Common Multiple of 463 and 468 = 216684
Step 1: Find the prime factorization of 463
463 = 463
Step 2: Find the prime factorization of 468
468 = 2 x 2 x 3 x 3 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 216684 = 2 x 2 x 3 x 3 x 13 x 463
Step 4: Therefore, the least common multiple of 463 and 468 is 216684.