Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3056/129, 9756/7096 quickly i.e. 7453584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3056/129, 9756/7096 is 7453584.
LCM(3056/129, 9756/7096) = 7453584
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3056/129,9756/7096
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 3056,9756
Least Common Multiple of Numerators i.e. LCM of 3056,9756 is 7453584.
GCF of Denominators means GCF of 129,7096 as per the given fractions.
GCF of 129,7096 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3056,9756
2 | 3056, 9756 |
2 | 1528, 4878 |
764, 2439 |
∴ So the LCM of the given numbers is 2 x 2 x 764 x 2439 = 7453584
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 3056,9756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3056,9756) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(3056,9756) x common factors =4 x 1 = 4
LCM(3056,9756) = ( 3056 × 9756 ) / 4
LCM(3056,9756) = 29814336 / 4
LCM(3056,9756) = 7453584
Lets's calculate GCF of 129,7096
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7453584/1
Therefore the LCM of Fractions 3056/129,9756/7096 is 7453584
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 7096
List of positive integer factors of 7096 that divides 7096 without a remainder.
1,2,4,8,887,1774,3548,7096
Greatest Common Factor
We found the factors 129,7096 . The biggest common factor number is the GCF number.
So the greatest common factor 129,7096 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 3056/129, 9756/7096?
Answer: LCM of Numerators as per given numbers 3056/129, 9756/7096 is
LCM of Numerators i.e. for 3056,9756 is 7453584
GCF of denominators i.e. for 129,7096 is 1.
Thus, LCM of Fractions is 7453584.Finally, LCM of Fractions for 3056/129, 9756/7096 is 7453584.