Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/40, 85/52, 59/50, 93/761 quickly i.e. 14924640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/40, 85/52, 59/50, 93/761 is 14924640.
LCM(32/40, 85/52, 59/50, 93/761) = 14924640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/40,85/52,59/50,93/761
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 32,85,59,93
Least Common Multiple of Numerators i.e. LCM of 32,85,59,93 is 14924640.
GCF of Denominators means GCF of 40,52,50,761 as per the given fractions.
GCF of 40,52,50,761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,85,59,93
Given numbers has no common factors except 1. So, there LCM is their product i.e 14924640
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 32,85,59,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,85,59,93) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,85,59,93) x common factors =1 x 1 = 1
LCM(32,85,59,93) = ( 32 × 85 × 59 × 93 ) / 1
LCM(32,85,59,93) = 14924640 / 1
LCM(32,85,59,93) = 14924640
Lets's calculate GCF of 40,52,50,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14924640/1
Therefore the LCM of Fractions 32/40,85/52,59/50,93/761 is 14924640
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 40,52,50,761 . The biggest common factor number is the GCF number.
So the greatest common factor 40,52,50,761 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 32/40, 85/52, 59/50, 93/761?
Answer: LCM of Numerators as per given numbers 32/40, 85/52, 59/50, 93/761 is
LCM of Numerators i.e. for 32,85,59,93 is 14924640
GCF of denominators i.e. for 40,52,50,761 is 1.
Thus, LCM of Fractions is 14924640.Finally, LCM of Fractions for 32/40, 85/52, 59/50, 93/761 is 14924640.