LCM of 396 and 401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 396 and 401 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 158796 as output. Here you can check the answer for Find the LCM of 396 and 401.
What is LCM of 396 and 401
Given Numbers are 396, 401
We can find the LCM of 396, 401 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 396 and 401
Multiples of 396 =396,792,1188,1584,1980,2376,2772,3168,3564,3960,4356,4752,5148,5544,5940,6336,6732,
Multiples of 401 =401,802,1203,1604,2005,2406,2807,3208,3609,4010,4411,4812,5213,5614,6015,6416,6817,
Now, get the least common multiple of 396, 401 which is 158796
So, the LCM of 396, 401 is 158796.
Least Common Multiple (LCM) of 396 and 401 with the help of Prime Factorisation
One method for determining the LCM of 396 and 401 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 401's prime factorization:
| 401 | 401 |
| 1 |
Prime factors of 401 are 401.
401 = 4011
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, 3,11,401
.22×32×111×4011 = 158796
This shows that the LCM of 396 and 401 is 158796.
How to Calculate the LCM of 396 and 401 Using Common Multiples
The first step in determining the Least Common Multiple of 396 and 401 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 396 and 401:
Lets look at the first ten multiples of these numbers, 396 and 401:
396,792,1188,1584,1980,2376,2772,3168,3564,6732 are the first ten multiples of 396.
401,802,1203,1604,2005,2406,2807,3208,3609,6817 are the first ten multiples of 401.
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 401, for example, are 4752, 6732, and 6416. 158796 is the least common multiple since it is the smallest.
396 and 401 have an LCM of 158796.
Least Common Multiple of 396 and 401 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 401, than apply into the LCM equation.
GCF(396,401) = 1
LCM(396,401) = ( 396 × 401) / 1
LCM(396,401) = 158796 / 1
LCM(396,401) = 158796
Related Least Common Multiples of 396
Related Least Common Multiples of 401
Frequently Asked Questions on LCM of 396 and 401
1. What is the LCM of 396 and 401?
The LCM of 396 and 401 is 158796.
2. How to find the lowest common multiple of 396 and 401?
To find the lowest common multiple of 396 and 401, we have to get the multip;es of both numbers and identify the least common multiple in them which is 158796.
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 401?
Answer: Factors of 401 are 1, 401. There are 2 integers that are factors of 401. The greatest factor of 401 is 401.
5. How to Find the LCM of 396 and 401?Answer:
Least Common Multiple of 396 and 401 = 158796
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 401
401 = 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 158796 = 2 x 2 x 3 x 3 x 11 x 401
Step 4: Therefore, the least common multiple of 396 and 401 is 158796.