LCM of 454 and 459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 454 and 459 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 208386 as output. Here you can check the answer for Find the LCM of 454 and 459.
What is LCM of 454 and 459
Given Numbers are 454, 459
We can find the LCM of 454, 459 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 454 and 459
Multiples of 454 =454,908,1362,1816,2270,2724,3178,3632,4086,4540,4994,5448,5902,6356,6810,7264,7718,
Multiples of 459 =459,918,1377,1836,2295,2754,3213,3672,4131,4590,5049,5508,5967,6426,6885,7344,7803,
Now, get the least common multiple of 454, 459 which is 208386
So, the LCM of 454, 459 is 208386.
Least Common Multiple (LCM) of 454 and 459 with the help of Prime Factorisation
One method for determining the LCM of 454 and 459 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 454's prime factorization:
| 2 | 454 |
| 227 | 227 |
| 1 |
Prime factors of 454 are 2,227.
454 = 21×2271
And this is 459's prime factorization:
| 3 | 459 |
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 459 are 3,17.
459 = 33×171
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: 2,227, 3,17
.21×33×171×2271 = 208386
This shows that the LCM of 454 and 459 is 208386.
How to Calculate the LCM of 454 and 459 Using Common Multiples
The first step in determining the Least Common Multiple of 454 and 459 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 454 and 459:
Lets look at the first ten multiples of these numbers, 454 and 459:
454,908,1362,1816,2270,2724,3178,3632,4086,7718 are the first ten multiples of 454.
459,918,1377,1836,2295,2754,3213,3672,4131,7803 are the first ten multiples of 459.
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 454 and 459, for example, are 5448, 7718, and 7344. 208386 is the least common multiple since it is the smallest.
454 and 459 have an LCM of 208386.
Least Common Multiple of 454 and 459 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 454 and 459, than apply into the LCM equation.
GCF(454,459) = 1
LCM(454,459) = ( 454 × 459) / 1
LCM(454,459) = 208386 / 1
LCM(454,459) = 208386
Related Least Common Multiples of 454
Related Least Common Multiples of 459
Frequently Asked Questions on LCM of 454 and 459
1. What is the LCM of 454 and 459?
The LCM of 454 and 459 is 208386.
2. How to find the lowest common multiple of 454 and 459?
To find the lowest common multiple of 454 and 459, we have to get the multip;es of both numbers and identify the least common multiple in them which is 208386.
3. What are the Factors of 454?
Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.
4. 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.
5. How to Find the LCM of 454 and 459?Answer:
Least Common Multiple of 454 and 459 = 208386
Step 1: Find the prime factorization of 454
454 = 2 x 227
Step 2: Find the prime factorization of 459
459 = 3 x 3 x 3 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 208386 = 2 x 3 x 3 x 3 x 17 x 227
Step 4: Therefore, the least common multiple of 454 and 459 is 208386.