LCM of 444 and 450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 444 and 450 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 33300 as output. Here you can check the answer for Find the LCM of 444 and 450.
What is LCM of 444 and 450
Given Numbers are 444, 450
We can find the LCM of 444, 450 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 444 and 450
Multiples of 444 =444,888,1332,1776,2220,2664,3108,3552,3996,4440,4884,5328,5772,6216,6660,7104,7548,
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 444, 450 which is 33300
So, the LCM of 444, 450 is 33300.
Least Common Multiple (LCM) of 444 and 450 with the help of Prime Factorisation
One method for determining the LCM of 444 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 444's prime factorization:
| 2 | 444 |
| 2 | 222 |
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 444 are 2, 3,37.
444 = 22×31×371
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: 2, 3,37,5
.22×32×52×371 = 33300
This shows that the LCM of 444 and 450 is 33300.
How to Calculate the LCM of 444 and 450 Using Common Multiples
The first step in determining the Least Common Multiple of 444 and 450 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 444 and 450:
Lets look at the first ten multiples of these numbers, 444 and 450:
444,888,1332,1776,2220,2664,3108,3552,3996,7548 are the first ten multiples of 444.
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 444 and 450, for example, are 5328, 7548, and 7200. 33300 is the least common multiple since it is the smallest.
444 and 450 have an LCM of 33300.
Least Common Multiple of 444 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 444 and 450, than apply into the LCM equation.
GCF(444,450) = 6
LCM(444,450) = ( 444 × 450) / 6
LCM(444,450) = 199800 / 6
LCM(444,450) = 33300
Related Least Common Multiples of 444
Related Least Common Multiples of 450
Frequently Asked Questions on LCM of 444 and 450
1. What is the LCM of 444 and 450?
The LCM of 444 and 450 is 33300.
2. How to find the lowest common multiple of 444 and 450?
To find the lowest common multiple of 444 and 450, we have to get the multip;es of both numbers and identify the least common multiple in them which is 33300.
3. What are the Factors of 444?
Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.
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 444 and 450?Answer:
Least Common Multiple of 444 and 450 = 33300
Step 1: Find the prime factorization of 444
444 = 2 x 2 x 3 x 37
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 = 33300 = 2 x 2 x 3 x 3 x 5 x 5 x 37
Step 4: Therefore, the least common multiple of 444 and 450 is 33300.