LCM of 360 and 366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 360 and 366 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 21960 as output. Here you can check the answer for Find the LCM of 360 and 366.
What is LCM of 360 and 366
Given Numbers are 360, 366
We can find the LCM of 360, 366 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 360 and 366
Multiples of 360 =360,720,1080,1440,1800,2160,2520,2880,3240,3600,3960,4320,4680,5040,5400,5760,6120,
Multiples of 366 =366,732,1098,1464,1830,2196,2562,2928,3294,3660,4026,4392,4758,5124,5490,5856,6222,
Now, get the least common multiple of 360, 366 which is 21960
So, the LCM of 360, 366 is 21960.
Least Common Multiple (LCM) of 360 and 366 with the help of Prime Factorisation
One method for determining the LCM of 360 and 366 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 366's prime factorization:
| 2 | 366 |
| 3 | 183 |
| 61 | 61 |
| 1 |
Prime factors of 366 are 2, 3,61.
366 = 21×31×611
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, 3,5,61
.23×32×51×611 = 21960
This shows that the LCM of 360 and 366 is 21960.
How to Calculate the LCM of 360 and 366 Using Common Multiples
The first step in determining the Least Common Multiple of 360 and 366 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 360 and 366:
Lets look at the first ten multiples of these numbers, 360 and 366:
360,720,1080,1440,1800,2160,2520,2880,3240,6120 are the first ten multiples of 360.
366,732,1098,1464,1830,2196,2562,2928,3294,6222 are the first ten multiples of 366.
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 366, for example, are 4320, 6120, and 5856. 21960 is the least common multiple since it is the smallest.
360 and 366 have an LCM of 21960.
Least Common Multiple of 360 and 366 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 366, than apply into the LCM equation.
GCF(360,366) = 6
LCM(360,366) = ( 360 × 366) / 6
LCM(360,366) = 131760 / 6
LCM(360,366) = 21960
Related Least Common Multiples of 360
Related Least Common Multiples of 366
Frequently Asked Questions on LCM of 360 and 366
1. What is the LCM of 360 and 366?
The LCM of 360 and 366 is 21960.
2. How to find the lowest common multiple of 360 and 366?
To find the lowest common multiple of 360 and 366, we have to get the multip;es of both numbers and identify the least common multiple in them which is 21960.
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 366?
Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.
5. How to Find the LCM of 360 and 366?Answer:
Least Common Multiple of 360 and 366 = 21960
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 366
366 = 2 x 3 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21960 = 2 x 2 x 2 x 3 x 3 x 5 x 61
Step 4: Therefore, the least common multiple of 360 and 366 is 21960.