Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/89, 8/96, 74/60, 47/141 quickly i.e. 13912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/89, 8/96, 74/60, 47/141 is 13912.
LCM(2/89, 8/96, 74/60, 47/141) = 13912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/89,8/96,74/60,47/141
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 2,8,74,47
Least Common Multiple of Numerators i.e. LCM of 2,8,74,47 is 13912.
GCF of Denominators means GCF of 89,96,60,141 as per the given fractions.
GCF of 89,96,60,141 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,8,74,47
2 | 2, 8, 74, 47 |
1, 4, 37, 47 |
∴ So the LCM of the given numbers is 2 x 1 x 4 x 37 x 47 = 13912
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 2,8,74,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,8,74,47) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(2,8,74,47) x common factors =1 x 4 = 4
LCM(2,8,74,47) = ( 2 × 8 × 74 × 47 ) / 4
LCM(2,8,74,47) = 55648 / 4
LCM(2,8,74,47) = 13912
Lets's calculate GCF of 89,96,60,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13912/1
Therefore the LCM of Fractions 2/89,8/96,74/60,47/141 is 13912
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
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 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Greatest Common Factor
We found the factors 89,96,60,141 . The biggest common factor number is the GCF number.
So the greatest common factor 89,96,60,141 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 2/89, 8/96, 74/60, 47/141?
Answer: LCM of Numerators as per given numbers 2/89, 8/96, 74/60, 47/141 is
LCM of Numerators i.e. for 2,8,74,47 is 13912
GCF of denominators i.e. for 89,96,60,141 is 1.
Thus, LCM of Fractions is 13912.Finally, LCM of Fractions for 2/89, 8/96, 74/60, 47/141 is 13912.