Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/82, 12/44, 94/81, 12/332 quickly i.e. 51324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/82, 12/44, 94/81, 12/332 is 51324.
LCM(91/82, 12/44, 94/81, 12/332) = 51324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/82,12/44,94/81,12/332
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 91,12,94,12
Least Common Multiple of Numerators i.e. LCM of 91,12,94,12 is 51324.
GCF of Denominators means GCF of 82,44,81,332 as per the given fractions.
GCF of 82,44,81,332 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,12,94,12
2 | 91, 12, 94, 12 |
2 | 91, 6, 47, 6 |
3 | 91, 3, 47, 3 |
91, 1, 47, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 91 x 1 x 47 x 1 = 51324
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 91,12,94,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,12,94,12) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(91,12,94,12) x common factors =1 x 24 = 24
LCM(91,12,94,12) = ( 91 × 12 × 94 × 12 ) / 24
LCM(91,12,94,12) = 1231776 / 24
LCM(91,12,94,12) = 51324
Lets's calculate GCF of 82,44,81,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51324/1
Therefore the LCM of Fractions 91/82,12/44,94/81,12/332 is 51324
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 82,44,81,332 . The biggest common factor number is the GCF number.
So the greatest common factor 82,44,81,332 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 91/82, 12/44, 94/81, 12/332?
Answer: LCM of Numerators as per given numbers 91/82, 12/44, 94/81, 12/332 is
LCM of Numerators i.e. for 91,12,94,12 is 51324
GCF of denominators i.e. for 82,44,81,332 is 1.
Thus, LCM of Fractions is 51324.Finally, LCM of Fractions for 91/82, 12/44, 94/81, 12/332 is 51324.