Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/82, 85/54, 22/56, 54/824 quickly i.e. 50490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/82, 85/54, 22/56, 54/824 is 50490.
LCM(12/82, 85/54, 22/56, 54/824) = 50490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/82,85/54,22/56,54/824
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 12,85,22,54
Least Common Multiple of Numerators i.e. LCM of 12,85,22,54 is 100980.
GCF of Denominators means GCF of 82,54,56,824 as per the given fractions.
GCF of 82,54,56,824 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,85,22,54
2 | 12, 85, 22, 54 |
3 | 6, 85, 11, 27 |
2, 85, 11, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 85 x 11 x 9 = 100980
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 12,85,22,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,85,22,54) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(12,85,22,54) x common factors =1 x 12 = 12
LCM(12,85,22,54) = ( 12 × 85 × 22 × 54 ) / 12
LCM(12,85,22,54) = 1211760 / 12
LCM(12,85,22,54) = 100980
Lets's calculate GCF of 82,54,56,824
2 | 82, 54, 56, 824 |
41, 27, 28, 412 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100980/2
Therefore the LCM of Fractions 12/82,85/54,22/56,54/824 is 50490
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 82,54,56,824 . The biggest common factor number is the GCF number.
So the greatest common factor 82,54,56,824 is 2.
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 12/82, 85/54, 22/56, 54/824?
Answer: LCM of Numerators as per given numbers 12/82, 85/54, 22/56, 54/824 is
LCM of Numerators i.e. for 12,85,22,54 is 100980
GCF of denominators i.e. for 82,54,56,824 is 2.
Thus, LCM of Fractions is 50490.Finally, LCM of Fractions for 12/82, 85/54, 22/56, 54/824 is 50490.