LCM of 391 and 396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 391 and 396 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 154836 as output. Here you can check the answer for Find the LCM of 391 and 396.
What is LCM of 391 and 396
Given Numbers are 391, 396
We can find the LCM of 391, 396 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 391 and 396
Multiples of 391 =391,782,1173,1564,1955,2346,2737,3128,3519,3910,4301,4692,5083,5474,5865,6256,6647,
Multiples of 396 =396,792,1188,1584,1980,2376,2772,3168,3564,3960,4356,4752,5148,5544,5940,6336,6732,
Now, get the least common multiple of 391, 396 which is 154836
So, the LCM of 391, 396 is 154836.
Least Common Multiple (LCM) of 391 and 396 with the help of Prime Factorisation
One method for determining the LCM of 391 and 396 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 391's prime factorization:
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 391 are 17,23.
391 = 171×231
And this 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
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: 17,23, 2, 3,11
.22×32×111×171×231 = 154836
This shows that the LCM of 391 and 396 is 154836.
How to Calculate the LCM of 391 and 396 Using Common Multiples
The first step in determining the Least Common Multiple of 391 and 396 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 391 and 396:
Lets look at the first ten multiples of these numbers, 391 and 396:
391,782,1173,1564,1955,2346,2737,3128,3519,6647 are the first ten multiples of 391.
396,792,1188,1584,1980,2376,2772,3168,3564,6732 are the first ten multiples of 396.
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 391 and 396, for example, are 4692, 6647, and 6336. 154836 is the least common multiple since it is the smallest.
391 and 396 have an LCM of 154836.
Least Common Multiple of 391 and 396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 391 and 396, than apply into the LCM equation.
GCF(391,396) = 1
LCM(391,396) = ( 391 × 396) / 1
LCM(391,396) = 154836 / 1
LCM(391,396) = 154836
Related Least Common Multiples of 391
Related Least Common Multiples of 396
Frequently Asked Questions on LCM of 391 and 396
1. What is the LCM of 391 and 396?
The LCM of 391 and 396 is 154836.
2. How to find the lowest common multiple of 391 and 396?
To find the lowest common multiple of 391 and 396, we have to get the multip;es of both numbers and identify the least common multiple in them which is 154836.
3. What are the Factors of 391?
Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.
4. 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.
5. How to Find the LCM of 391 and 396?Answer:
Least Common Multiple of 391 and 396 = 154836
Step 1: Find the prime factorization of 391
391 = 17 x 23
Step 2: Find the prime factorization of 396
396 = 2 x 2 x 3 x 3 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154836 = 2 x 2 x 3 x 3 x 11 x 17 x 23
Step 4: Therefore, the least common multiple of 391 and 396 is 154836.