Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/82, 194/16, 331/124 quickly i.e. 192642 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, 194/16, 331/124 is 192642.
LCM(12/82, 194/16, 331/124) = 192642
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/82,194/16,331/124
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 12,194,331
Least Common Multiple of Numerators i.e. LCM of 12,194,331 is 385284.
GCF of Denominators means GCF of 82,16,124 as per the given fractions.
GCF of 82,16,124 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,194,331
2 | 12, 194, 331 |
6, 97, 331 |
∴ So the LCM of the given numbers is 2 x 6 x 97 x 331 = 385284
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 12,194,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,194,331) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(12,194,331) x common factors =1 x 2 = 2
LCM(12,194,331) = ( 12 × 194 × 331 ) / 2
LCM(12,194,331) = 770568 / 2
LCM(12,194,331) = 385284
Lets's calculate GCF of 82,16,124
2 | 82, 16, 124 |
41, 8, 62 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385284/2
Therefore the LCM of Fractions 12/82,194/16,331/124 is 192642
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 82,16,124 . The biggest common factor number is the GCF number.
So the greatest common factor 82,16,124 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, 194/16, 331/124?
Answer: LCM of Numerators as per given numbers 12/82, 194/16, 331/124 is
LCM of Numerators i.e. for 12,194,331 is 385284
GCF of denominators i.e. for 82,16,124 is 2.
Thus, LCM of Fractions is 192642.Finally, LCM of Fractions for 12/82, 194/16, 331/124 is 192642.