Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/381, 367/850, 938/113 quickly i.e. 14114086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/381, 367/850, 938/113 is 14114086.
LCM(41/381, 367/850, 938/113) = 14114086
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/381,367/850,938/113
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 41,367,938
Least Common Multiple of Numerators i.e. LCM of 41,367,938 is 14114086.
GCF of Denominators means GCF of 381,850,113 as per the given fractions.
GCF of 381,850,113 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,367,938
Given numbers has no common factors except 1. So, there LCM is their product i.e 14114086
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 41,367,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,367,938) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,367,938) x common factors =1 x 1 = 1
LCM(41,367,938) = ( 41 × 367 × 938 ) / 1
LCM(41,367,938) = 14114086 / 1
LCM(41,367,938) = 14114086
Lets's calculate GCF of 381,850,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14114086/1
Therefore the LCM of Fractions 41/381,367/850,938/113 is 14114086
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Greatest Common Factor
We found the factors 381,850,113 . The biggest common factor number is the GCF number.
So the greatest common factor 381,850,113 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 41/381, 367/850, 938/113?
Answer: LCM of Numerators as per given numbers 41/381, 367/850, 938/113 is
LCM of Numerators i.e. for 41,367,938 is 14114086
GCF of denominators i.e. for 381,850,113 is 1.
Thus, LCM of Fractions is 14114086.Finally, LCM of Fractions for 41/381, 367/850, 938/113 is 14114086.