LCM of 180 and 185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 180 and 185 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 6660 as output. Here you can check the answer for Find the LCM of 180 and 185.
What is LCM of 180 and 185
Given Numbers are 180, 185
We can find the LCM of 180, 185 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 180 and 185
Multiples of 180 =180,360,540,720,900,1080,1260,1440,1620,1800,1980,2160,2340,2520,2700,2880,3060,
Multiples of 185 =185,370,555,740,925,1110,1295,1480,1665,1850,2035,2220,2405,2590,2775,2960,3145,
Now, get the least common multiple of 180, 185 which is 6660
So, the LCM of 180, 185 is 6660.
Least Common Multiple (LCM) of 180 and 185 with the help of Prime Factorisation
One method for determining the LCM of 180 and 185 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 180's prime factorization:
| 2 | 180 |
| 2 | 90 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 180 are 2, 3,5.
180 = 22×32×51
And this is 185's prime factorization:
| 5 | 185 |
| 37 | 37 |
| 1 |
Prime factors of 185 are 5,37.
185 = 51×371
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, 3,5,37
.22×32×51×371 = 6660
This shows that the LCM of 180 and 185 is 6660.
How to Calculate the LCM of 180 and 185 Using Common Multiples
The first step in determining the Least Common Multiple of 180 and 185 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 180 and 185:
Lets look at the first ten multiples of these numbers, 180 and 185:
180,360,540,720,900,1080,1260,1440,1620,3060 are the first ten multiples of 180.
185,370,555,740,925,1110,1295,1480,1665,3145 are the first ten multiples of 185.
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 180 and 185, for example, are 2160, 3060, and 2960. 6660 is the least common multiple since it is the smallest.
180 and 185 have an LCM of 6660.
Least Common Multiple of 180 and 185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 180 and 185, than apply into the LCM equation.
GCF(180,185) = 5
LCM(180,185) = ( 180 × 185) / 5
LCM(180,185) = 33300 / 5
LCM(180,185) = 6660
Related Least Common Multiples of 180
Related Least Common Multiples of 185
Frequently Asked Questions on LCM of 180 and 185
1. What is the LCM of 180 and 185?
The LCM of 180 and 185 is 6660.
2. How to find the lowest common multiple of 180 and 185?
To find the lowest common multiple of 180 and 185, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6660.
3. What are the Factors of 180?
Answer: Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. There are 18 integers that are factors of 180. The greatest factor of 180 is 180.
4. What are the Factors of 185?
Answer: Factors of 185 are 1, 5, 37, 185. There are 4 integers that are factors of 185. The greatest factor of 185 is 185.
5. How to Find the LCM of 180 and 185?Answer:
Least Common Multiple of 180 and 185 = 6660
Step 1: Find the prime factorization of 180
180 = 2 x 2 x 3 x 3 x 5
Step 2: Find the prime factorization of 185
185 = 5 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6660 = 2 x 2 x 3 x 3 x 5 x 37
Step 4: Therefore, the least common multiple of 180 and 185 is 6660.