Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/78, 82/66, 954/231 quickly i.e. 208608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/78, 82/66, 954/231 is 208608.
LCM(96/78, 82/66, 954/231) = 208608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/78,82/66,954/231
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 96,82,954
Least Common Multiple of Numerators i.e. LCM of 96,82,954 is 625824.
GCF of Denominators means GCF of 78,66,231 as per the given fractions.
GCF of 78,66,231 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,82,954
2 | 96, 82, 954 |
3 | 48, 41, 477 |
16, 41, 159 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 41 x 159 = 625824
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 96,82,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,82,954) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(96,82,954) x common factors =2 x 6 = 12
LCM(96,82,954) = ( 96 × 82 × 954 ) / 12
LCM(96,82,954) = 7509888 / 12
LCM(96,82,954) = 625824
Lets's calculate GCF of 78,66,231
3 | 78, 66, 231 |
26, 22, 77 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 625824/3
Therefore the LCM of Fractions 96/78,82/66,954/231 is 208608
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 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 78,66,231 . The biggest common factor number is the GCF number.
So the greatest common factor 78,66,231 is 3.
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 96/78, 82/66, 954/231?
Answer: LCM of Numerators as per given numbers 96/78, 82/66, 954/231 is
LCM of Numerators i.e. for 96,82,954 is 625824
GCF of denominators i.e. for 78,66,231 is 3.
Thus, LCM of Fractions is 208608.Finally, LCM of Fractions for 96/78, 82/66, 954/231 is 208608.