LCM of 427 and 432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 427 and 432 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 184464 as output. Here you can check the answer for Find the LCM of 427 and 432.
What is LCM of 427 and 432
Given Numbers are 427, 432
We can find the LCM of 427, 432 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 427 and 432
Multiples of 427 =427,854,1281,1708,2135,2562,2989,3416,3843,4270,4697,5124,5551,5978,6405,6832,7259,
Multiples of 432 =432,864,1296,1728,2160,2592,3024,3456,3888,4320,4752,5184,5616,6048,6480,6912,7344,
Now, get the least common multiple of 427, 432 which is 184464
So, the LCM of 427, 432 is 184464.
Least Common Multiple (LCM) of 427 and 432 with the help of Prime Factorisation
One method for determining the LCM of 427 and 432 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 427's prime factorization:
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 427 are 7,61.
427 = 71×611
And this 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
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: 7,61, 2,3
.24×33×71×611 = 184464
This shows that the LCM of 427 and 432 is 184464.
How to Calculate the LCM of 427 and 432 Using Common Multiples
The first step in determining the Least Common Multiple of 427 and 432 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 427 and 432:
Lets look at the first ten multiples of these numbers, 427 and 432:
427,854,1281,1708,2135,2562,2989,3416,3843,7259 are the first ten multiples of 427.
432,864,1296,1728,2160,2592,3024,3456,3888,7344 are the first ten multiples of 432.
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 427 and 432, for example, are 5124, 7259, and 6912. 184464 is the least common multiple since it is the smallest.
427 and 432 have an LCM of 184464.
Least Common Multiple of 427 and 432 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 427 and 432, than apply into the LCM equation.
GCF(427,432) = 1
LCM(427,432) = ( 427 × 432) / 1
LCM(427,432) = 184464 / 1
LCM(427,432) = 184464
Related Least Common Multiples of 427
Related Least Common Multiples of 432
Frequently Asked Questions on LCM of 427 and 432
1. What is the LCM of 427 and 432?
The LCM of 427 and 432 is 184464.
2. How to find the lowest common multiple of 427 and 432?
To find the lowest common multiple of 427 and 432, we have to get the multip;es of both numbers and identify the least common multiple in them which is 184464.
3. What are the Factors of 427?
Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.
4. 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.
5. How to Find the LCM of 427 and 432?Answer:
Least Common Multiple of 427 and 432 = 184464
Step 1: Find the prime factorization of 427
427 = 7 x 61
Step 2: Find the prime factorization of 432
432 = 2 x 2 x 2 x 2 x 3 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 184464 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 61
Step 4: Therefore, the least common multiple of 427 and 432 is 184464.