Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 231/58, 187/1868 quickly i.e. 3927/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 231/58, 187/1868 is 3927/2.
LCM(231/58, 187/1868) = 3927/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 231/58,187/1868
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 231,187
Least Common Multiple of Numerators i.e. LCM of 231,187 is 3927.
GCF of Denominators means GCF of 58,1868 as per the given fractions.
GCF of 58,1868 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 231,187
11 | 231, 187 |
21, 17 |
∴ So the LCM of the given numbers is 11 x 21 x 17 = 3927
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 231,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,187) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(231,187) x common factors =11 x 1 = 11
LCM(231,187) = ( 231 × 187 ) / 11
LCM(231,187) = 43197 / 11
LCM(231,187) = 3927
Lets's calculate GCF of 58,1868
2 | 58, 1868 |
29, 934 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3927/2
Therefore the LCM of Fractions 231/58,187/1868 is 3927/2
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 1868
List of positive integer factors of 1868 that divides 1868 without a remainder.
1,2,4,467,934,1868
Greatest Common Factor
We found the factors 58,1868 . The biggest common factor number is the GCF number.
So the greatest common factor 58,1868 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 231/58, 187/1868?
Answer: LCM of Numerators as per given numbers 231/58, 187/1868 is
LCM of Numerators i.e. for 231,187 is 3927
GCF of denominators i.e. for 58,1868 is 2.
Thus, LCM of Fractions is 3927/2.Finally, LCM of Fractions for 231/58, 187/1868 is 3927/2.