LCM of 381 and 387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 381 and 387 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 49149 as output. Here you can check the answer for Find the LCM of 381 and 387.
What is LCM of 381 and 387
Given Numbers are 381, 387
We can find the LCM of 381, 387 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 381 and 387
Multiples of 381 =381,762,1143,1524,1905,2286,2667,3048,3429,3810,4191,4572,4953,5334,5715,6096,6477,
Multiples of 387 =387,774,1161,1548,1935,2322,2709,3096,3483,3870,4257,4644,5031,5418,5805,6192,6579,
Now, get the least common multiple of 381, 387 which is 49149
So, the LCM of 381, 387 is 49149.
Least Common Multiple (LCM) of 381 and 387 with the help of Prime Factorisation
One method for determining the LCM of 381 and 387 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 381's prime factorization:
| 3 | 381 |
| 127 | 127 |
| 1 |
Prime factors of 381 are 3,127.
381 = 31×1271
And this is 387's prime factorization:
| 3 | 387 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 387 are 3,43.
387 = 32×431
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: 3,127,43
.32×431×1271 = 49149
This shows that the LCM of 381 and 387 is 49149.
How to Calculate the LCM of 381 and 387 Using Common Multiples
The first step in determining the Least Common Multiple of 381 and 387 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 381 and 387:
Lets look at the first ten multiples of these numbers, 381 and 387:
381,762,1143,1524,1905,2286,2667,3048,3429,6477 are the first ten multiples of 381.
387,774,1161,1548,1935,2322,2709,3096,3483,6579 are the first ten multiples of 387.
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 381 and 387, for example, are 4572, 6477, and 6192. 49149 is the least common multiple since it is the smallest.
381 and 387 have an LCM of 49149.
Least Common Multiple of 381 and 387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 381 and 387, than apply into the LCM equation.
GCF(381,387) = 3
LCM(381,387) = ( 381 × 387) / 3
LCM(381,387) = 147447 / 3
LCM(381,387) = 49149
Related Least Common Multiples of 381
Related Least Common Multiples of 387
Frequently Asked Questions on LCM of 381 and 387
1. What is the LCM of 381 and 387?
The LCM of 381 and 387 is 49149.
2. How to find the lowest common multiple of 381 and 387?
To find the lowest common multiple of 381 and 387, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49149.
3. What are the Factors of 381?
Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.
4. 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.
5. How to Find the LCM of 381 and 387?Answer:
Least Common Multiple of 381 and 387 = 49149
Step 1: Find the prime factorization of 381
381 = 3 x 127
Step 2: Find the prime factorization of 387
387 = 3 x 3 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49149 = 3 x 3 x 43 x 127
Step 4: Therefore, the least common multiple of 381 and 387 is 49149.