LCM of 435 and 441
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 435 and 441 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 63945 as output. Here you can check the answer for Find the LCM of 435 and 441.
What is LCM of 435 and 441
Given Numbers are 435, 441
We can find the LCM of 435, 441 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 435 and 441
Multiples of 435 =435,870,1305,1740,2175,2610,3045,3480,3915,4350,4785,5220,5655,6090,6525,6960,7395,
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 435, 441 which is 63945
So, the LCM of 435, 441 is 63945.
Least Common Multiple (LCM) of 435 and 441 with the help of Prime Factorisation
One method for determining the LCM of 435 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 435's prime factorization:
| 3 | 435 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 435 are 3, 5,29.
435 = 31×51×291
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: 3, 5,29,7
.32×51×72×291 = 63945
This shows that the LCM of 435 and 441 is 63945.
How to Calculate the LCM of 435 and 441 Using Common Multiples
The first step in determining the Least Common Multiple of 435 and 441 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 435 and 441:
Lets look at the first ten multiples of these numbers, 435 and 441:
435,870,1305,1740,2175,2610,3045,3480,3915,7395 are the first ten multiples of 435.
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 435 and 441, for example, are 5220, 7395, and 7056. 63945 is the least common multiple since it is the smallest.
435 and 441 have an LCM of 63945.
Least Common Multiple of 435 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 435 and 441, than apply into the LCM equation.
GCF(435,441) = 3
LCM(435,441) = ( 435 × 441) / 3
LCM(435,441) = 191835 / 3
LCM(435,441) = 63945
Related Least Common Multiples of 435
Related Least Common Multiples of 441
Frequently Asked Questions on LCM of 435 and 441
1. What is the LCM of 435 and 441?
The LCM of 435 and 441 is 63945.
2. How to find the lowest common multiple of 435 and 441?
To find the lowest common multiple of 435 and 441, we have to get the multip;es of both numbers and identify the least common multiple in them which is 63945.
3. What are the Factors of 435?
Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.
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 435 and 441?Answer:
Least Common Multiple of 435 and 441 = 63945
Step 1: Find the prime factorization of 435
435 = 3 x 5 x 29
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 = 63945 = 3 x 3 x 5 x 7 x 7 x 29
Step 4: Therefore, the least common multiple of 435 and 441 is 63945.