LCM of 387 and 392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 387 and 392 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 151704 as output. Here you can check the answer for Find the LCM of 387 and 392.
What is LCM of 387 and 392
Given Numbers are 387, 392
We can find the LCM of 387, 392 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 387 and 392
Multiples of 387 =387,774,1161,1548,1935,2322,2709,3096,3483,3870,4257,4644,5031,5418,5805,6192,6579,
Multiples of 392 =392,784,1176,1568,1960,2352,2744,3136,3528,3920,4312,4704,5096,5488,5880,6272,6664,
Now, get the least common multiple of 387, 392 which is 151704
So, the LCM of 387, 392 is 151704.
Least Common Multiple (LCM) of 387 and 392 with the help of Prime Factorisation
One method for determining the LCM of 387 and 392 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 392's prime factorization:
| 2 | 392 |
| 2 | 196 |
| 2 | 98 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 392 are 2,7.
392 = 23×72
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, 2,7
.23×32×72×431 = 151704
This shows that the LCM of 387 and 392 is 151704.
How to Calculate the LCM of 387 and 392 Using Common Multiples
The first step in determining the Least Common Multiple of 387 and 392 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 387 and 392:
Lets look at the first ten multiples of these numbers, 387 and 392:
387,774,1161,1548,1935,2322,2709,3096,3483,6579 are the first ten multiples of 387.
392,784,1176,1568,1960,2352,2744,3136,3528,6664 are the first ten multiples of 392.
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 392, for example, are 4644, 6579, and 6272. 151704 is the least common multiple since it is the smallest.
387 and 392 have an LCM of 151704.
Least Common Multiple of 387 and 392 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 392, than apply into the LCM equation.
GCF(387,392) = 1
LCM(387,392) = ( 387 × 392) / 1
LCM(387,392) = 151704 / 1
LCM(387,392) = 151704
Related Least Common Multiples of 387
Related Least Common Multiples of 392
Frequently Asked Questions on LCM of 387 and 392
1. What is the LCM of 387 and 392?
The LCM of 387 and 392 is 151704.
2. How to find the lowest common multiple of 387 and 392?
To find the lowest common multiple of 387 and 392, we have to get the multip;es of both numbers and identify the least common multiple in them which is 151704.
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 392?
Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.
5. How to Find the LCM of 387 and 392?Answer:
Least Common Multiple of 387 and 392 = 151704
Step 1: Find the prime factorization of 387
387 = 3 x 3 x 43
Step 2: Find the prime factorization of 392
392 = 2 x 2 x 2 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 151704 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 43
Step 4: Therefore, the least common multiple of 387 and 392 is 151704.