LCM of 432 and 439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 432 and 439 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 189648 as output. Here you can check the answer for Find the LCM of 432 and 439.
What is LCM of 432 and 439
Given Numbers are 432, 439
We can find the LCM of 432, 439 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 432 and 439
Multiples of 432 =432,864,1296,1728,2160,2592,3024,3456,3888,4320,4752,5184,5616,6048,6480,6912,7344,
Multiples of 439 =439,878,1317,1756,2195,2634,3073,3512,3951,4390,4829,5268,5707,6146,6585,7024,7463,
Now, get the least common multiple of 432, 439 which is 189648
So, the LCM of 432, 439 is 189648.
Least Common Multiple (LCM) of 432 and 439 with the help of Prime Factorisation
One method for determining the LCM of 432 and 439 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 432's prime factorization:
| 2 | 432 |
| 2 | 216 |
| 2 | 108 |
| 2 | 54 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 432 are 2,3.
432 = 24×33
And this is 439's prime factorization:
| 439 | 439 |
| 1 |
Prime factors of 439 are 439.
439 = 4391
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: 2,3,439
.24×33×4391 = 189648
This shows that the LCM of 432 and 439 is 189648.
How to Calculate the LCM of 432 and 439 Using Common Multiples
The first step in determining the Least Common Multiple of 432 and 439 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 432 and 439:
Lets look at the first ten multiples of these numbers, 432 and 439:
432,864,1296,1728,2160,2592,3024,3456,3888,7344 are the first ten multiples of 432.
439,878,1317,1756,2195,2634,3073,3512,3951,7463 are the first ten multiples of 439.
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 432 and 439, for example, are 5184, 7344, and 7024. 189648 is the least common multiple since it is the smallest.
432 and 439 have an LCM of 189648.
Least Common Multiple of 432 and 439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 432 and 439, than apply into the LCM equation.
GCF(432,439) = 1
LCM(432,439) = ( 432 × 439) / 1
LCM(432,439) = 189648 / 1
LCM(432,439) = 189648
Related Least Common Multiples of 432
Related Least Common Multiples of 439
Frequently Asked Questions on LCM of 432 and 439
1. What is the LCM of 432 and 439?
The LCM of 432 and 439 is 189648.
2. How to find the lowest common multiple of 432 and 439?
To find the lowest common multiple of 432 and 439, we have to get the multip;es of both numbers and identify the least common multiple in them which is 189648.
3. What are the Factors of 432?
Answer: Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432. There are 20 integers that are factors of 432. The greatest factor of 432 is 432.
4. What are the Factors of 439?
Answer: Factors of 439 are 1, 439. There are 2 integers that are factors of 439. The greatest factor of 439 is 439.
5. How to Find the LCM of 432 and 439?Answer:
Least Common Multiple of 432 and 439 = 189648
Step 1: Find the prime factorization of 432
432 = 2 x 2 x 2 x 2 x 3 x 3 x 3
Step 2: Find the prime factorization of 439
439 = 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 189648 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 439
Step 4: Therefore, the least common multiple of 432 and 439 is 189648.