LCM of 189 and 194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 189 and 194 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 36666 as output. Here you can check the answer for Find the LCM of 189 and 194.
What is LCM of 189 and 194
Given Numbers are 189, 194
We can find the LCM of 189, 194 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 189 and 194
Multiples of 189 =189,378,567,756,945,1134,1323,1512,1701,1890,2079,2268,2457,2646,2835,3024,3213,
Multiples of 194 =194,388,582,776,970,1164,1358,1552,1746,1940,2134,2328,2522,2716,2910,3104,3298,
Now, get the least common multiple of 189, 194 which is 36666
So, the LCM of 189, 194 is 36666.
Least Common Multiple (LCM) of 189 and 194 with the help of Prime Factorisation
One method for determining the LCM of 189 and 194 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 189's prime factorization:
| 3 | 189 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 189 are 3,7.
189 = 33×71
And this is 194's prime factorization:
| 2 | 194 |
| 97 | 97 |
| 1 |
Prime factors of 194 are 2,97.
194 = 21×971
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: 3,7, 2,97
.21×33×71×971 = 36666
This shows that the LCM of 189 and 194 is 36666.
How to Calculate the LCM of 189 and 194 Using Common Multiples
The first step in determining the Least Common Multiple of 189 and 194 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 189 and 194:
Lets look at the first ten multiples of these numbers, 189 and 194:
189,378,567,756,945,1134,1323,1512,1701,3213 are the first ten multiples of 189.
194,388,582,776,970,1164,1358,1552,1746,3298 are the first ten multiples of 194.
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 189 and 194, for example, are 2268, 3213, and 3104. 36666 is the least common multiple since it is the smallest.
189 and 194 have an LCM of 36666.
Least Common Multiple of 189 and 194 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 189 and 194, than apply into the LCM equation.
GCF(189,194) = 1
LCM(189,194) = ( 189 × 194) / 1
LCM(189,194) = 36666 / 1
LCM(189,194) = 36666
Related Least Common Multiples of 189
Related Least Common Multiples of 194
Frequently Asked Questions on LCM of 189 and 194
1. What is the LCM of 189 and 194?
The LCM of 189 and 194 is 36666.
2. How to find the lowest common multiple of 189 and 194?
To find the lowest common multiple of 189 and 194, we have to get the multip;es of both numbers and identify the least common multiple in them which is 36666.
3. What are the Factors of 189?
Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.
4. What are the Factors of 194?
Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.
5. How to Find the LCM of 189 and 194?Answer:
Least Common Multiple of 189 and 194 = 36666
Step 1: Find the prime factorization of 189
189 = 3 x 3 x 3 x 7
Step 2: Find the prime factorization of 194
194 = 2 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36666 = 2 x 3 x 3 x 3 x 7 x 97
Step 4: Therefore, the least common multiple of 189 and 194 is 36666.