Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 104/247, 7696/2108 quickly i.e. 7696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 104/247, 7696/2108 is 7696.
LCM(104/247, 7696/2108) = 7696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 104/247,7696/2108
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 104,7696
Least Common Multiple of Numerators i.e. LCM of 104,7696 is 7696.
GCF of Denominators means GCF of 247,2108 as per the given fractions.
GCF of 247,2108 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 104,7696
2 | 104, 7696 |
2 | 52, 3848 |
2 | 26, 1924 |
13 | 13, 962 |
1, 74 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 1 x 74 = 7696
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 104,7696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,7696) = 104
common factors(in case of two or more numbers have common factors) = 1
GCF(104,7696) x common factors =104 x 1 = 104
LCM(104,7696) = ( 104 × 7696 ) / 104
LCM(104,7696) = 800384 / 104
LCM(104,7696) = 7696
Lets's calculate GCF of 247,2108
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7696/1
Therefore the LCM of Fractions 104/247,7696/2108 is 7696
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 2108
List of positive integer factors of 2108 that divides 2108 without a remainder.
1,2,4,17,31,34,62,68,124,527,1054,2108
Greatest Common Factor
We found the factors 247,2108 . The biggest common factor number is the GCF number.
So the greatest common factor 247,2108 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 104/247, 7696/2108?
Answer: LCM of Numerators as per given numbers 104/247, 7696/2108 is
LCM of Numerators i.e. for 104,7696 is 7696
GCF of denominators i.e. for 247,2108 is 1.
Thus, LCM of Fractions is 7696.Finally, LCM of Fractions for 104/247, 7696/2108 is 7696.