Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/96, 67/91, 60/918 quickly i.e. 52260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/96, 67/91, 60/918 is 52260.
LCM(13/96, 67/91, 60/918) = 52260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/96,67/91,60/918
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 13,67,60
Least Common Multiple of Numerators i.e. LCM of 13,67,60 is 52260.
GCF of Denominators means GCF of 96,91,918 as per the given fractions.
GCF of 96,91,918 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,67,60
Given numbers has no common factors except 1. So, there LCM is their product i.e 52260
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 13,67,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,67,60) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,67,60) x common factors =1 x 1 = 1
LCM(13,67,60) = ( 13 × 67 × 60 ) / 1
LCM(13,67,60) = 52260 / 1
LCM(13,67,60) = 52260
Lets's calculate GCF of 96,91,918
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52260/1
Therefore the LCM of Fractions 13/96,67/91,60/918 is 52260
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 96,91,918 . The biggest common factor number is the GCF number.
So the greatest common factor 96,91,918 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 13/96, 67/91, 60/918?
Answer: LCM of Numerators as per given numbers 13/96, 67/91, 60/918 is
LCM of Numerators i.e. for 13,67,60 is 52260
GCF of denominators i.e. for 96,91,918 is 1.
Thus, LCM of Fractions is 52260.Finally, LCM of Fractions for 13/96, 67/91, 60/918 is 52260.