LCM of 390 and 396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 390 and 396 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 25740 as output. Here you can check the answer for Find the LCM of 390 and 396.
What is LCM of 390 and 396
Given Numbers are 390, 396
We can find the LCM of 390, 396 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 390 and 396
Multiples of 390 =390,780,1170,1560,1950,2340,2730,3120,3510,3900,4290,4680,5070,5460,5850,6240,6630,
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 390, 396 which is 25740
So, the LCM of 390, 396 is 25740.
Least Common Multiple (LCM) of 390 and 396 with the help of Prime Factorisation
One method for determining the LCM of 390 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 390's prime factorization:
| 2 | 390 |
| 3 | 195 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 390 are 2, 3, 5,13.
390 = 21×31×51×131
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: 2, 3, 5,13,11
.22×32×51×111×131 = 25740
This shows that the LCM of 390 and 396 is 25740.
How to Calculate the LCM of 390 and 396 Using Common Multiples
The first step in determining the Least Common Multiple of 390 and 396 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 390 and 396:
Lets look at the first ten multiples of these numbers, 390 and 396:
390,780,1170,1560,1950,2340,2730,3120,3510,6630 are the first ten multiples of 390.
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 390 and 396, for example, are 4680, 6630, and 6336. 25740 is the least common multiple since it is the smallest.
390 and 396 have an LCM of 25740.
Least Common Multiple of 390 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 390 and 396, than apply into the LCM equation.
GCF(390,396) = 6
LCM(390,396) = ( 390 × 396) / 6
LCM(390,396) = 154440 / 6
LCM(390,396) = 25740
Related Least Common Multiples of 390
Related Least Common Multiples of 396
Frequently Asked Questions on LCM of 390 and 396
1. What is the LCM of 390 and 396?
The LCM of 390 and 396 is 25740.
2. How to find the lowest common multiple of 390 and 396?
To find the lowest common multiple of 390 and 396, we have to get the multip;es of both numbers and identify the least common multiple in them which is 25740.
3. What are the Factors of 390?
Answer: Factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. There are 16 integers that are factors of 390. The greatest factor of 390 is 390.
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 390 and 396?Answer:
Least Common Multiple of 390 and 396 = 25740
Step 1: Find the prime factorization of 390
390 = 2 x 3 x 5 x 13
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 = 25740 = 2 x 2 x 3 x 3 x 5 x 11 x 13
Step 4: Therefore, the least common multiple of 390 and 396 is 25740.