Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/96, 8/25, 89/98, 27/883 quickly i.e. 96120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/96, 8/25, 89/98, 27/883 is 96120.
LCM(5/96, 8/25, 89/98, 27/883) = 96120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/96,8/25,89/98,27/883
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 5,8,89,27
Least Common Multiple of Numerators i.e. LCM of 5,8,89,27 is 96120.
GCF of Denominators means GCF of 96,25,98,883 as per the given fractions.
GCF of 96,25,98,883 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,8,89,27
Given numbers has no common factors except 1. So, there LCM is their product i.e 96120
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 5,8,89,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,8,89,27) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,8,89,27) x common factors =1 x 1 = 1
LCM(5,8,89,27) = ( 5 × 8 × 89 × 27 ) / 1
LCM(5,8,89,27) = 96120 / 1
LCM(5,8,89,27) = 96120
Lets's calculate GCF of 96,25,98,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96120/1
Therefore the LCM of Fractions 5/96,8/25,89/98,27/883 is 96120
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 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Greatest Common Factor
We found the factors 96,25,98,883 . The biggest common factor number is the GCF number.
So the greatest common factor 96,25,98,883 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 5/96, 8/25, 89/98, 27/883?
Answer: LCM of Numerators as per given numbers 5/96, 8/25, 89/98, 27/883 is
LCM of Numerators i.e. for 5,8,89,27 is 96120
GCF of denominators i.e. for 96,25,98,883 is 1.
Thus, LCM of Fractions is 96120.Finally, LCM of Fractions for 5/96, 8/25, 89/98, 27/883 is 96120.