LCM of 432 and 438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 432 and 438 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 31536 as output. Here you can check the answer for Find the LCM of 432 and 438.
What is LCM of 432 and 438
Given Numbers are 432, 438
We can find the LCM of 432, 438 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 432 and 438
Multiples of 432 =432,864,1296,1728,2160,2592,3024,3456,3888,4320,4752,5184,5616,6048,6480,6912,7344,
Multiples of 438 =438,876,1314,1752,2190,2628,3066,3504,3942,4380,4818,5256,5694,6132,6570,7008,7446,
Now, get the least common multiple of 432, 438 which is 31536
So, the LCM of 432, 438 is 31536.
Least Common Multiple (LCM) of 432 and 438 with the help of Prime Factorisation
One method for determining the LCM of 432 and 438 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 438's prime factorization:
| 2 | 438 |
| 3 | 219 |
| 73 | 73 |
| 1 |
Prime factors of 438 are 2, 3,73.
438 = 21×31×731
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: 2,3,73
.24×33×731 = 31536
This shows that the LCM of 432 and 438 is 31536.
How to Calculate the LCM of 432 and 438 Using Common Multiples
The first step in determining the Least Common Multiple of 432 and 438 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 432 and 438:
Lets look at the first ten multiples of these numbers, 432 and 438:
432,864,1296,1728,2160,2592,3024,3456,3888,7344 are the first ten multiples of 432.
438,876,1314,1752,2190,2628,3066,3504,3942,7446 are the first ten multiples of 438.
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 438, for example, are 5184, 7344, and 7008. 31536 is the least common multiple since it is the smallest.
432 and 438 have an LCM of 31536.
Least Common Multiple of 432 and 438 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 438, than apply into the LCM equation.
GCF(432,438) = 6
LCM(432,438) = ( 432 × 438) / 6
LCM(432,438) = 189216 / 6
LCM(432,438) = 31536
Related Least Common Multiples of 432
Related Least Common Multiples of 438
Frequently Asked Questions on LCM of 432 and 438
1. What is the LCM of 432 and 438?
The LCM of 432 and 438 is 31536.
2. How to find the lowest common multiple of 432 and 438?
To find the lowest common multiple of 432 and 438, we have to get the multip;es of both numbers and identify the least common multiple in them which is 31536.
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 438?
Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.
5. How to Find the LCM of 432 and 438?Answer:
Least Common Multiple of 432 and 438 = 31536
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 438
438 = 2 x 3 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31536 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 73
Step 4: Therefore, the least common multiple of 432 and 438 is 31536.