Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/32, 2/75, 96/39, 93/816 quickly i.e. 2976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/32, 2/75, 96/39, 93/816 is 2976.
LCM(8/32, 2/75, 96/39, 93/816) = 2976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/32,2/75,96/39,93/816
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 8,2,96,93
Least Common Multiple of Numerators i.e. LCM of 8,2,96,93 is 2976.
GCF of Denominators means GCF of 32,75,39,816 as per the given fractions.
GCF of 32,75,39,816 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,2,96,93
2 | 8, 2, 96, 93 |
2 | 4, 1, 48, 93 |
2 | 2, 1, 24, 93 |
3 | 1, 1, 12, 93 |
1, 1, 4, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 4 x 31 = 2976
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 8,2,96,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,2,96,93) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(8,2,96,93) x common factors =1 x 48 = 48
LCM(8,2,96,93) = ( 8 × 2 × 96 × 93 ) / 48
LCM(8,2,96,93) = 142848 / 48
LCM(8,2,96,93) = 2976
Lets's calculate GCF of 32,75,39,816
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2976/1
Therefore the LCM of Fractions 8/32,2/75,96/39,93/816 is 2976
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 32,75,39,816 . The biggest common factor number is the GCF number.
So the greatest common factor 32,75,39,816 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 8/32, 2/75, 96/39, 93/816?
Answer: LCM of Numerators as per given numbers 8/32, 2/75, 96/39, 93/816 is
LCM of Numerators i.e. for 8,2,96,93 is 2976
GCF of denominators i.e. for 32,75,39,816 is 1.
Thus, LCM of Fractions is 2976.Finally, LCM of Fractions for 8/32, 2/75, 96/39, 93/816 is 2976.