Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/12, 22/28, 94/81, 66/81 quickly i.e. 21714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/12, 22/28, 94/81, 66/81 is 21714.
LCM(77/12, 22/28, 94/81, 66/81) = 21714
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/12,22/28,94/81,66/81
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 77,22,94,66
Least Common Multiple of Numerators i.e. LCM of 77,22,94,66 is 21714.
GCF of Denominators means GCF of 12,28,81,81 as per the given fractions.
GCF of 12,28,81,81 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,22,94,66
2 | 77, 22, 94, 66 |
11 | 77, 11, 47, 33 |
7, 1, 47, 3 |
∴ So the LCM of the given numbers is 2 x 11 x 7 x 1 x 47 x 3 = 21714
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 77,22,94,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,22,94,66) = 1
common factors(in case of two or more numbers have common factors) = 484
GCF(77,22,94,66) x common factors =1 x 484 = 484
LCM(77,22,94,66) = ( 77 × 22 × 94 × 66 ) / 484
LCM(77,22,94,66) = 10509576 / 484
LCM(77,22,94,66) = 21714
Lets's calculate GCF of 12,28,81,81
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21714/1
Therefore the LCM of Fractions 77/12,22/28,94/81,66/81 is 21714
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Greatest Common Factor
We found the factors 12,28,81,81 . The biggest common factor number is the GCF number.
So the greatest common factor 12,28,81,81 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 77/12, 22/28, 94/81, 66/81?
Answer: LCM of Numerators as per given numbers 77/12, 22/28, 94/81, 66/81 is
LCM of Numerators i.e. for 77,22,94,66 is 21714
GCF of denominators i.e. for 12,28,81,81 is 1.
Thus, LCM of Fractions is 21714.Finally, LCM of Fractions for 77/12, 22/28, 94/81, 66/81 is 21714.