LCM of 443 and 450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 443 and 450 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 199350 as output. Here you can check the answer for Find the LCM of 443 and 450.
What is LCM of 443 and 450
Given Numbers are 443, 450
We can find the LCM of 443, 450 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 443 and 450
Multiples of 443 =443,886,1329,1772,2215,2658,3101,3544,3987,4430,4873,5316,5759,6202,6645,7088,7531,
Multiples of 450 =450,900,1350,1800,2250,2700,3150,3600,4050,4500,4950,5400,5850,6300,6750,7200,7650,
Now, get the least common multiple of 443, 450 which is 199350
So, the LCM of 443, 450 is 199350.
Least Common Multiple (LCM) of 443 and 450 with the help of Prime Factorisation
One method for determining the LCM of 443 and 450 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 443's prime factorization:
| 443 | 443 |
| 1 |
Prime factors of 443 are 443.
443 = 4431
And this is 450's prime factorization:
| 2 | 450 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 450 are 2, 3,5.
450 = 21×32×52
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:443, 2, 3,5
.21×32×52×4431 = 199350
This shows that the LCM of 443 and 450 is 199350.
How to Calculate the LCM of 443 and 450 Using Common Multiples
The first step in determining the Least Common Multiple of 443 and 450 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 443 and 450:
Lets look at the first ten multiples of these numbers, 443 and 450:
443,886,1329,1772,2215,2658,3101,3544,3987,7531 are the first ten multiples of 443.
450,900,1350,1800,2250,2700,3150,3600,4050,7650 are the first ten multiples of 450.
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 443 and 450, for example, are 5316, 7531, and 7200. 199350 is the least common multiple since it is the smallest.
443 and 450 have an LCM of 199350.
Least Common Multiple of 443 and 450 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 443 and 450, than apply into the LCM equation.
GCF(443,450) = 1
LCM(443,450) = ( 443 × 450) / 1
LCM(443,450) = 199350 / 1
LCM(443,450) = 199350
Related Least Common Multiples of 443
Related Least Common Multiples of 450
Frequently Asked Questions on LCM of 443 and 450
1. What is the LCM of 443 and 450?
The LCM of 443 and 450 is 199350.
2. How to find the lowest common multiple of 443 and 450?
To find the lowest common multiple of 443 and 450, we have to get the multip;es of both numbers and identify the least common multiple in them which is 199350.
3. What are the Factors of 443?
Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.
4. What are the Factors of 450?
Answer: Factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450. There are 18 integers that are factors of 450. The greatest factor of 450 is 450.
5. How to Find the LCM of 443 and 450?Answer:
Least Common Multiple of 443 and 450 = 199350
Step 1: Find the prime factorization of 443
443 = 443
Step 2: Find the prime factorization of 450
450 = 2 x 3 x 3 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 199350 = 2 x 3 x 3 x 5 x 5 x 443
Step 4: Therefore, the least common multiple of 443 and 450 is 199350.