LCM of 360 and 367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 360 and 367 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 132120 as output. Here you can check the answer for Find the LCM of 360 and 367.
What is LCM of 360 and 367
Given Numbers are 360, 367
We can find the LCM of 360, 367 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 360 and 367
Multiples of 360 =360,720,1080,1440,1800,2160,2520,2880,3240,3600,3960,4320,4680,5040,5400,5760,6120,
Multiples of 367 =367,734,1101,1468,1835,2202,2569,2936,3303,3670,4037,4404,4771,5138,5505,5872,6239,
Now, get the least common multiple of 360, 367 which is 132120
So, the LCM of 360, 367 is 132120.
Least Common Multiple (LCM) of 360 and 367 with the help of Prime Factorisation
One method for determining the LCM of 360 and 367 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 360's prime factorization:
| 2 | 360 |
| 2 | 180 |
| 2 | 90 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 360 are 2, 3,5.
360 = 23×32×51
And this is 367's prime factorization:
| 367 | 367 |
| 1 |
Prime factors of 367 are 367.
367 = 3671
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, 3,5,367
.23×32×51×3671 = 132120
This shows that the LCM of 360 and 367 is 132120.
How to Calculate the LCM of 360 and 367 Using Common Multiples
The first step in determining the Least Common Multiple of 360 and 367 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 360 and 367:
Lets look at the first ten multiples of these numbers, 360 and 367:
360,720,1080,1440,1800,2160,2520,2880,3240,6120 are the first ten multiples of 360.
367,734,1101,1468,1835,2202,2569,2936,3303,6239 are the first ten multiples of 367.
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 360 and 367, for example, are 4320, 6120, and 5872. 132120 is the least common multiple since it is the smallest.
360 and 367 have an LCM of 132120.
Least Common Multiple of 360 and 367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 360 and 367, than apply into the LCM equation.
GCF(360,367) = 1
LCM(360,367) = ( 360 × 367) / 1
LCM(360,367) = 132120 / 1
LCM(360,367) = 132120
Related Least Common Multiples of 360
Related Least Common Multiples of 367
Frequently Asked Questions on LCM of 360 and 367
1. What is the LCM of 360 and 367?
The LCM of 360 and 367 is 132120.
2. How to find the lowest common multiple of 360 and 367?
To find the lowest common multiple of 360 and 367, we have to get the multip;es of both numbers and identify the least common multiple in them which is 132120.
3. What are the Factors of 360?
Answer: Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. There are 24 integers that are factors of 360. The greatest factor of 360 is 360.
4. What are the Factors of 367?
Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.
5. How to Find the LCM of 360 and 367?Answer:
Least Common Multiple of 360 and 367 = 132120
Step 1: Find the prime factorization of 360
360 = 2 x 2 x 2 x 3 x 3 x 5
Step 2: Find the prime factorization of 367
367 = 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 132120 = 2 x 2 x 2 x 3 x 3 x 5 x 367
Step 4: Therefore, the least common multiple of 360 and 367 is 132120.