Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/78, 22/41, 85/47, 67/866 quickly i.e. 6640370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/78, 22/41, 85/47, 67/866 is 6640370.
LCM(53/78, 22/41, 85/47, 67/866) = 6640370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/78,22/41,85/47,67/866
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 53,22,85,67
Least Common Multiple of Numerators i.e. LCM of 53,22,85,67 is 6640370.
GCF of Denominators means GCF of 78,41,47,866 as per the given fractions.
GCF of 78,41,47,866 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,22,85,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 6640370
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 53,22,85,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,22,85,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,22,85,67) x common factors =1 x 1 = 1
LCM(53,22,85,67) = ( 53 × 22 × 85 × 67 ) / 1
LCM(53,22,85,67) = 6640370 / 1
LCM(53,22,85,67) = 6640370
Lets's calculate GCF of 78,41,47,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6640370/1
Therefore the LCM of Fractions 53/78,22/41,85/47,67/866 is 6640370
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 78,41,47,866 . The biggest common factor number is the GCF number.
So the greatest common factor 78,41,47,866 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 53/78, 22/41, 85/47, 67/866?
Answer: LCM of Numerators as per given numbers 53/78, 22/41, 85/47, 67/866 is
LCM of Numerators i.e. for 53,22,85,67 is 6640370
GCF of denominators i.e. for 78,41,47,866 is 1.
Thus, LCM of Fractions is 6640370.Finally, LCM of Fractions for 53/78, 22/41, 85/47, 67/866 is 6640370.