LCM of 441 and 447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 441 and 447 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 65709 as output. Here you can check the answer for Find the LCM of 441 and 447.
What is LCM of 441 and 447
Given Numbers are 441, 447
We can find the LCM of 441, 447 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 441 and 447
Multiples of 441 =441,882,1323,1764,2205,2646,3087,3528,3969,4410,4851,5292,5733,6174,6615,7056,7497,
Multiples of 447 =447,894,1341,1788,2235,2682,3129,3576,4023,4470,4917,5364,5811,6258,6705,7152,7599,
Now, get the least common multiple of 441, 447 which is 65709
So, the LCM of 441, 447 is 65709.
Least Common Multiple (LCM) of 441 and 447 with the help of Prime Factorisation
One method for determining the LCM of 441 and 447 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 441's prime factorization:
| 3 | 441 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 441 are 3,7.
441 = 32×72
And this is 447's prime factorization:
| 3 | 447 |
| 149 | 149 |
| 1 |
Prime factors of 447 are 3,149.
447 = 31×1491
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: 3,7,149
.32×72×1491 = 65709
This shows that the LCM of 441 and 447 is 65709.
How to Calculate the LCM of 441 and 447 Using Common Multiples
The first step in determining the Least Common Multiple of 441 and 447 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 441 and 447:
Lets look at the first ten multiples of these numbers, 441 and 447:
441,882,1323,1764,2205,2646,3087,3528,3969,7497 are the first ten multiples of 441.
447,894,1341,1788,2235,2682,3129,3576,4023,7599 are the first ten multiples of 447.
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 441 and 447, for example, are 5292, 7497, and 7152. 65709 is the least common multiple since it is the smallest.
441 and 447 have an LCM of 65709.
Least Common Multiple of 441 and 447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 441 and 447, than apply into the LCM equation.
GCF(441,447) = 3
LCM(441,447) = ( 441 × 447) / 3
LCM(441,447) = 197127 / 3
LCM(441,447) = 65709
Related Least Common Multiples of 441
Related Least Common Multiples of 447
Frequently Asked Questions on LCM of 441 and 447
1. What is the LCM of 441 and 447?
The LCM of 441 and 447 is 65709.
2. How to find the lowest common multiple of 441 and 447?
To find the lowest common multiple of 441 and 447, we have to get the multip;es of both numbers and identify the least common multiple in them which is 65709.
3. 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.
4. What are the Factors of 447?
Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.
5. How to Find the LCM of 441 and 447?Answer:
Least Common Multiple of 441 and 447 = 65709
Step 1: Find the prime factorization of 441
441 = 3 x 3 x 7 x 7
Step 2: Find the prime factorization of 447
447 = 3 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65709 = 3 x 3 x 7 x 7 x 149
Step 4: Therefore, the least common multiple of 441 and 447 is 65709.