LCM of 380 and 387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 380 and 387 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 147060 as output. Here you can check the answer for Find the LCM of 380 and 387.
What is LCM of 380 and 387
Given Numbers are 380, 387
We can find the LCM of 380, 387 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 380 and 387
Multiples of 380 =380,760,1140,1520,1900,2280,2660,3040,3420,3800,4180,4560,4940,5320,5700,6080,6460,
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 380, 387 which is 147060
So, the LCM of 380, 387 is 147060.
Least Common Multiple (LCM) of 380 and 387 with the help of Prime Factorisation
One method for determining the LCM of 380 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 380's prime factorization:
| 2 | 380 |
| 2 | 190 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 380 are 2, 5,19.
380 = 22×51×191
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: 2, 5,19, 3,43
.22×32×51×191×431 = 147060
This shows that the LCM of 380 and 387 is 147060.
How to Calculate the LCM of 380 and 387 Using Common Multiples
The first step in determining the Least Common Multiple of 380 and 387 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 380 and 387:
Lets look at the first ten multiples of these numbers, 380 and 387:
380,760,1140,1520,1900,2280,2660,3040,3420,6460 are the first ten multiples of 380.
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 380 and 387, for example, are 4560, 6460, and 6192. 147060 is the least common multiple since it is the smallest.
380 and 387 have an LCM of 147060.
Least Common Multiple of 380 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 380 and 387, than apply into the LCM equation.
GCF(380,387) = 1
LCM(380,387) = ( 380 × 387) / 1
LCM(380,387) = 147060 / 1
LCM(380,387) = 147060
Related Least Common Multiples of 380
Related Least Common Multiples of 387
Frequently Asked Questions on LCM of 380 and 387
1. What is the LCM of 380 and 387?
The LCM of 380 and 387 is 147060.
2. How to find the lowest common multiple of 380 and 387?
To find the lowest common multiple of 380 and 387, we have to get the multip;es of both numbers and identify the least common multiple in them which is 147060.
3. What are the Factors of 380?
Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.
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 380 and 387?Answer:
Least Common Multiple of 380 and 387 = 147060
Step 1: Find the prime factorization of 380
380 = 2 x 2 x 5 x 19
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 = 147060 = 2 x 2 x 3 x 3 x 5 x 19 x 43
Step 4: Therefore, the least common multiple of 380 and 387 is 147060.