Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/933, 2141/7487 quickly i.e. 87781 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/933, 2141/7487 is 87781.
LCM(41/933, 2141/7487) = 87781
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/933,2141/7487
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 41,2141
Least Common Multiple of Numerators i.e. LCM of 41,2141 is 87781.
GCF of Denominators means GCF of 933,7487 as per the given fractions.
GCF of 933,7487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,2141
Given numbers has no common factors except 1. So, there LCM is their product i.e 87781
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 41,2141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,2141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,2141) x common factors =1 x 1 = 1
LCM(41,2141) = ( 41 × 2141 ) / 1
LCM(41,2141) = 87781 / 1
LCM(41,2141) = 87781
Lets's calculate GCF of 933,7487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87781/1
Therefore the LCM of Fractions 41/933,2141/7487 is 87781
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 7487
List of positive integer factors of 7487 that divides 7487 without a remainder.
1,7487
Greatest Common Factor
We found the factors 933,7487 . The biggest common factor number is the GCF number.
So the greatest common factor 933,7487 is 1.
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 41/933, 2141/7487?
Answer: LCM of Numerators as per given numbers 41/933, 2141/7487 is
LCM of Numerators i.e. for 41,2141 is 87781
GCF of denominators i.e. for 933,7487 is 1.
Thus, LCM of Fractions is 87781.Finally, LCM of Fractions for 41/933, 2141/7487 is 87781.