LCM of 459 and 467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 459 and 467 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 214353 as output. Here you can check the answer for Find the LCM of 459 and 467.
What is LCM of 459 and 467
Given Numbers are 459, 467
We can find the LCM of 459, 467 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 459 and 467
Multiples of 459 =459,918,1377,1836,2295,2754,3213,3672,4131,4590,5049,5508,5967,6426,6885,7344,7803,
Multiples of 467 =467,934,1401,1868,2335,2802,3269,3736,4203,4670,5137,5604,6071,6538,7005,7472,7939,
Now, get the least common multiple of 459, 467 which is 214353
So, the LCM of 459, 467 is 214353.
Least Common Multiple (LCM) of 459 and 467 with the help of Prime Factorisation
One method for determining the LCM of 459 and 467 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 459's prime factorization:
| 3 | 459 |
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 459 are 3,17.
459 = 33×171
And this is 467's prime factorization:
| 467 | 467 |
| 1 |
Prime factors of 467 are 467.
467 = 4671
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: 3,17,467
.33×171×4671 = 214353
This shows that the LCM of 459 and 467 is 214353.
How to Calculate the LCM of 459 and 467 Using Common Multiples
The first step in determining the Least Common Multiple of 459 and 467 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 459 and 467:
Lets look at the first ten multiples of these numbers, 459 and 467:
459,918,1377,1836,2295,2754,3213,3672,4131,7803 are the first ten multiples of 459.
467,934,1401,1868,2335,2802,3269,3736,4203,7939 are the first ten multiples of 467.
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 459 and 467, for example, are 5508, 7803, and 7472. 214353 is the least common multiple since it is the smallest.
459 and 467 have an LCM of 214353.
Least Common Multiple of 459 and 467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 459 and 467, than apply into the LCM equation.
GCF(459,467) = 1
LCM(459,467) = ( 459 × 467) / 1
LCM(459,467) = 214353 / 1
LCM(459,467) = 214353
Related Least Common Multiples of 459
Related Least Common Multiples of 467
Frequently Asked Questions on LCM of 459 and 467
1. What is the LCM of 459 and 467?
The LCM of 459 and 467 is 214353.
2. How to find the lowest common multiple of 459 and 467?
To find the lowest common multiple of 459 and 467, we have to get the multip;es of both numbers and identify the least common multiple in them which is 214353.
3. What are the Factors of 459?
Answer: Factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. There are 8 integers that are factors of 459. The greatest factor of 459 is 459.
4. What are the Factors of 467?
Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.
5. How to Find the LCM of 459 and 467?Answer:
Least Common Multiple of 459 and 467 = 214353
Step 1: Find the prime factorization of 459
459 = 3 x 3 x 3 x 17
Step 2: Find the prime factorization of 467
467 = 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 214353 = 3 x 3 x 3 x 17 x 467
Step 4: Therefore, the least common multiple of 459 and 467 is 214353.