Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 871/50, 733/2761 quickly i.e. 638443 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 871/50, 733/2761 is 638443.
LCM(871/50, 733/2761) = 638443
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 871/50,733/2761
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 871,733
Least Common Multiple of Numerators i.e. LCM of 871,733 is 638443.
GCF of Denominators means GCF of 50,2761 as per the given fractions.
GCF of 50,2761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 871,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 638443
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 871,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,733) x common factors =1 x 1 = 1
LCM(871,733) = ( 871 × 733 ) / 1
LCM(871,733) = 638443 / 1
LCM(871,733) = 638443
Lets's calculate GCF of 50,2761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 638443/1
Therefore the LCM of Fractions 871/50,733/2761 is 638443
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 2761
List of positive integer factors of 2761 that divides 2761 without a remainder.
1,11,251,2761
Greatest Common Factor
We found the factors 50,2761 . The biggest common factor number is the GCF number.
So the greatest common factor 50,2761 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 871/50, 733/2761?
Answer: LCM of Numerators as per given numbers 871/50, 733/2761 is
LCM of Numerators i.e. for 871,733 is 638443
GCF of denominators i.e. for 50,2761 is 1.
Thus, LCM of Fractions is 638443.Finally, LCM of Fractions for 871/50, 733/2761 is 638443.