Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/871, 863/397, 925/723 quickly i.e. 37518925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/871, 863/397, 925/723 is 37518925.
LCM(47/871, 863/397, 925/723) = 37518925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/871,863/397,925/723
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 47,863,925
Least Common Multiple of Numerators i.e. LCM of 47,863,925 is 37518925.
GCF of Denominators means GCF of 871,397,723 as per the given fractions.
GCF of 871,397,723 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,863,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 37518925
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 47,863,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,863,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,863,925) x common factors =1 x 1 = 1
LCM(47,863,925) = ( 47 × 863 × 925 ) / 1
LCM(47,863,925) = 37518925 / 1
LCM(47,863,925) = 37518925
Lets's calculate GCF of 871,397,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37518925/1
Therefore the LCM of Fractions 47/871,863/397,925/723 is 37518925
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 871,397,723 . The biggest common factor number is the GCF number.
So the greatest common factor 871,397,723 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 47/871, 863/397, 925/723?
Answer: LCM of Numerators as per given numbers 47/871, 863/397, 925/723 is
LCM of Numerators i.e. for 47,863,925 is 37518925
GCF of denominators i.e. for 871,397,723 is 1.
Thus, LCM of Fractions is 37518925.Finally, LCM of Fractions for 47/871, 863/397, 925/723 is 37518925.