LCM of 425 and 432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 425 and 432 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 183600 as output. Here you can check the answer for Find the LCM of 425 and 432.
What is LCM of 425 and 432
Given Numbers are 425, 432
We can find the LCM of 425, 432 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 425 and 432
Multiples of 425 =425,850,1275,1700,2125,2550,2975,3400,3825,4250,4675,5100,5525,5950,6375,6800,7225,
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 425, 432 which is 183600
So, the LCM of 425, 432 is 183600.
Least Common Multiple (LCM) of 425 and 432 with the help of Prime Factorisation
One method for determining the LCM of 425 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 425's prime factorization:
| 5 | 425 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 425 are 5,17.
425 = 52×171
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: 5,17, 2,3
.24×33×52×171 = 183600
This shows that the LCM of 425 and 432 is 183600.
How to Calculate the LCM of 425 and 432 Using Common Multiples
The first step in determining the Least Common Multiple of 425 and 432 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 425 and 432:
Lets look at the first ten multiples of these numbers, 425 and 432:
425,850,1275,1700,2125,2550,2975,3400,3825,7225 are the first ten multiples of 425.
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 425 and 432, for example, are 5100, 7225, and 6912. 183600 is the least common multiple since it is the smallest.
425 and 432 have an LCM of 183600.
Least Common Multiple of 425 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 425 and 432, than apply into the LCM equation.
GCF(425,432) = 1
LCM(425,432) = ( 425 × 432) / 1
LCM(425,432) = 183600 / 1
LCM(425,432) = 183600
Related Least Common Multiples of 425
Related Least Common Multiples of 432
Frequently Asked Questions on LCM of 425 and 432
1. What is the LCM of 425 and 432?
The LCM of 425 and 432 is 183600.
2. How to find the lowest common multiple of 425 and 432?
To find the lowest common multiple of 425 and 432, we have to get the multip;es of both numbers and identify the least common multiple in them which is 183600.
3. What are the Factors of 425?
Answer: Factors of 425 are 1, 5, 17, 25, 85, 425. There are 6 integers that are factors of 425. The greatest factor of 425 is 425.
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 425 and 432?Answer:
Least Common Multiple of 425 and 432 = 183600
Step 1: Find the prime factorization of 425
425 = 5 x 5 x 17
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 = 183600 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 17
Step 4: Therefore, the least common multiple of 425 and 432 is 183600.