LCM of 396 and 404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 396 and 404 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 39996 as output. Here you can check the answer for Find the LCM of 396 and 404.
What is LCM of 396 and 404
Given Numbers are 396, 404
We can find the LCM of 396, 404 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 396 and 404
Multiples of 396 =396,792,1188,1584,1980,2376,2772,3168,3564,3960,4356,4752,5148,5544,5940,6336,6732,
Multiples of 404 =404,808,1212,1616,2020,2424,2828,3232,3636,4040,4444,4848,5252,5656,6060,6464,6868,
Now, get the least common multiple of 396, 404 which is 39996
So, the LCM of 396, 404 is 39996.
Least Common Multiple (LCM) of 396 and 404 with the help of Prime Factorisation
One method for determining the LCM of 396 and 404 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 396's prime factorization:
| 2 | 396 |
| 2 | 198 |
| 3 | 99 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 396 are 2, 3,11.
396 = 22×32×111
And this is 404's prime factorization:
| 2 | 404 |
| 2 | 202 |
| 101 | 101 |
| 1 |
Prime factors of 404 are 2,101.
404 = 22×1011
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, 3,11,101
.22×32×111×1011 = 39996
This shows that the LCM of 396 and 404 is 39996.
How to Calculate the LCM of 396 and 404 Using Common Multiples
The first step in determining the Least Common Multiple of 396 and 404 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 396 and 404:
Lets look at the first ten multiples of these numbers, 396 and 404:
396,792,1188,1584,1980,2376,2772,3168,3564,6732 are the first ten multiples of 396.
404,808,1212,1616,2020,2424,2828,3232,3636,6868 are the first ten multiples of 404.
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 396 and 404, for example, are 4752, 6732, and 6464. 39996 is the least common multiple since it is the smallest.
396 and 404 have an LCM of 39996.
Least Common Multiple of 396 and 404 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 396 and 404, than apply into the LCM equation.
GCF(396,404) = 4
LCM(396,404) = ( 396 × 404) / 4
LCM(396,404) = 159984 / 4
LCM(396,404) = 39996
Related Least Common Multiples of 396
Related Least Common Multiples of 404
Frequently Asked Questions on LCM of 396 and 404
1. What is the LCM of 396 and 404?
The LCM of 396 and 404 is 39996.
2. How to find the lowest common multiple of 396 and 404?
To find the lowest common multiple of 396 and 404, we have to get the multip;es of both numbers and identify the least common multiple in them which is 39996.
3. What are the Factors of 396?
Answer: Factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. There are 18 integers that are factors of 396. The greatest factor of 396 is 396.
4. What are the Factors of 404?
Answer: Factors of 404 are 1, 2, 4, 101, 202, 404. There are 6 integers that are factors of 404. The greatest factor of 404 is 404.
5. How to Find the LCM of 396 and 404?Answer:
Least Common Multiple of 396 and 404 = 39996
Step 1: Find the prime factorization of 396
396 = 2 x 2 x 3 x 3 x 11
Step 2: Find the prime factorization of 404
404 = 2 x 2 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39996 = 2 x 2 x 3 x 3 x 11 x 101
Step 4: Therefore, the least common multiple of 396 and 404 is 39996.