LCM of 437 and 441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 437 and 441 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 192717 as output. Here you can check the answer for Find the LCM of 437 and 441.
What is LCM of 437 and 441
Given Numbers are 437, 441
We can find the LCM of 437, 441 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 437 and 441
Multiples of 437 =437,874,1311,1748,2185,2622,3059,3496,3933,4370,4807,5244,5681,6118,6555,6992,7429,
Multiples of 441 =441,882,1323,1764,2205,2646,3087,3528,3969,4410,4851,5292,5733,6174,6615,7056,7497,
Now, get the least common multiple of 437, 441 which is 192717
So, the LCM of 437, 441 is 192717.
Least Common Multiple (LCM) of 437 and 441 with the help of Prime Factorisation
One method for determining the LCM of 437 and 441 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 437's prime factorization:
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 437 are 19,23.
437 = 191×231
And this is 441's prime factorization:
| 3 | 441 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 441 are 3,7.
441 = 32×72
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: 19,23, 3,7
.32×72×191×231 = 192717
This shows that the LCM of 437 and 441 is 192717.
How to Calculate the LCM of 437 and 441 Using Common Multiples
The first step in determining the Least Common Multiple of 437 and 441 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 437 and 441:
Lets look at the first ten multiples of these numbers, 437 and 441:
437,874,1311,1748,2185,2622,3059,3496,3933,7429 are the first ten multiples of 437.
441,882,1323,1764,2205,2646,3087,3528,3969,7497 are the first ten multiples of 441.
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 437 and 441, for example, are 5244, 7429, and 7056. 192717 is the least common multiple since it is the smallest.
437 and 441 have an LCM of 192717.
Least Common Multiple of 437 and 441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 437 and 441, than apply into the LCM equation.
GCF(437,441) = 1
LCM(437,441) = ( 437 × 441) / 1
LCM(437,441) = 192717 / 1
LCM(437,441) = 192717
Related Least Common Multiples of 437
Related Least Common Multiples of 441
Frequently Asked Questions on LCM of 437 and 441
1. What is the LCM of 437 and 441?
The LCM of 437 and 441 is 192717.
2. How to find the lowest common multiple of 437 and 441?
To find the lowest common multiple of 437 and 441, we have to get the multip;es of both numbers and identify the least common multiple in them which is 192717.
3. What are the Factors of 437?
Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.
4. What are the Factors of 441?
Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.
5. How to Find the LCM of 437 and 441?Answer:
Least Common Multiple of 437 and 441 = 192717
Step 1: Find the prime factorization of 437
437 = 19 x 23
Step 2: Find the prime factorization of 441
441 = 3 x 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 192717 = 3 x 3 x 7 x 7 x 19 x 23
Step 4: Therefore, the least common multiple of 437 and 441 is 192717.