LCM of 387 and 393
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 387 and 393 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 50697 as output. Here you can check the answer for Find the LCM of 387 and 393.
What is LCM of 387 and 393
Given Numbers are 387, 393
We can find the LCM of 387, 393 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 387 and 393
Multiples of 387 =387,774,1161,1548,1935,2322,2709,3096,3483,3870,4257,4644,5031,5418,5805,6192,6579,
Multiples of 393 =393,786,1179,1572,1965,2358,2751,3144,3537,3930,4323,4716,5109,5502,5895,6288,6681,
Now, get the least common multiple of 387, 393 which is 50697
So, the LCM of 387, 393 is 50697.
Least Common Multiple (LCM) of 387 and 393 with the help of Prime Factorisation
One method for determining the LCM of 387 and 393 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 387's prime factorization:
| 3 | 387 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 387 are 3,43.
387 = 32×431
And this is 393's prime factorization:
| 3 | 393 |
| 131 | 131 |
| 1 |
Prime factors of 393 are 3,131.
393 = 31×1311
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: 3,43,131
.32×431×1311 = 50697
This shows that the LCM of 387 and 393 is 50697.
How to Calculate the LCM of 387 and 393 Using Common Multiples
The first step in determining the Least Common Multiple of 387 and 393 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 387 and 393:
Lets look at the first ten multiples of these numbers, 387 and 393:
387,774,1161,1548,1935,2322,2709,3096,3483,6579 are the first ten multiples of 387.
393,786,1179,1572,1965,2358,2751,3144,3537,6681 are the first ten multiples of 393.
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 387 and 393, for example, are 4644, 6579, and 6288. 50697 is the least common multiple since it is the smallest.
387 and 393 have an LCM of 50697.
Least Common Multiple of 387 and 393 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 387 and 393, than apply into the LCM equation.
GCF(387,393) = 3
LCM(387,393) = ( 387 × 393) / 3
LCM(387,393) = 152091 / 3
LCM(387,393) = 50697
Related Least Common Multiples of 387
Related Least Common Multiples of 393
Frequently Asked Questions on LCM of 387 and 393
1. What is the LCM of 387 and 393?
The LCM of 387 and 393 is 50697.
2. How to find the lowest common multiple of 387 and 393?
To find the lowest common multiple of 387 and 393, we have to get the multip;es of both numbers and identify the least common multiple in them which is 50697.
3. What are the Factors of 387?
Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.
4. What are the Factors of 393?
Answer: Factors of 393 are 1, 3, 131, 393. There are 4 integers that are factors of 393. The greatest factor of 393 is 393.
5. How to Find the LCM of 387 and 393?Answer:
Least Common Multiple of 387 and 393 = 50697
Step 1: Find the prime factorization of 387
387 = 3 x 3 x 43
Step 2: Find the prime factorization of 393
393 = 3 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50697 = 3 x 3 x 43 x 131
Step 4: Therefore, the least common multiple of 387 and 393 is 50697.