LCM of 383 and 387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 383 and 387 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 148221 as output. Here you can check the answer for Find the LCM of 383 and 387.
What is LCM of 383 and 387
Given Numbers are 383, 387
We can find the LCM of 383, 387 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 383 and 387
Multiples of 383 =383,766,1149,1532,1915,2298,2681,3064,3447,3830,4213,4596,4979,5362,5745,6128,6511,
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 383, 387 which is 148221
So, the LCM of 383, 387 is 148221.
Least Common Multiple (LCM) of 383 and 387 with the help of Prime Factorisation
One method for determining the LCM of 383 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 383's prime factorization:
| 383 | 383 |
| 1 |
Prime factors of 383 are 383.
383 = 3831
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:383, 3,43
.32×431×3831 = 148221
This shows that the LCM of 383 and 387 is 148221.
How to Calculate the LCM of 383 and 387 Using Common Multiples
The first step in determining the Least Common Multiple of 383 and 387 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 383 and 387:
Lets look at the first ten multiples of these numbers, 383 and 387:
383,766,1149,1532,1915,2298,2681,3064,3447,6511 are the first ten multiples of 383.
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 383 and 387, for example, are 4596, 6511, and 6192. 148221 is the least common multiple since it is the smallest.
383 and 387 have an LCM of 148221.
Least Common Multiple of 383 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 383 and 387, than apply into the LCM equation.
GCF(383,387) = 1
LCM(383,387) = ( 383 × 387) / 1
LCM(383,387) = 148221 / 1
LCM(383,387) = 148221
Related Least Common Multiples of 383
Related Least Common Multiples of 387
Frequently Asked Questions on LCM of 383 and 387
1. What is the LCM of 383 and 387?
The LCM of 383 and 387 is 148221.
2. How to find the lowest common multiple of 383 and 387?
To find the lowest common multiple of 383 and 387, we have to get the multip;es of both numbers and identify the least common multiple in them which is 148221.
3. What are the Factors of 383?
Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.
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 383 and 387?Answer:
Least Common Multiple of 383 and 387 = 148221
Step 1: Find the prime factorization of 383
383 = 383
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 = 148221 = 3 x 3 x 43 x 383
Step 4: Therefore, the least common multiple of 383 and 387 is 148221.