Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7754/81, 4692/103 quickly i.e. 18190884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7754/81, 4692/103 is 18190884.
LCM(7754/81, 4692/103) = 18190884
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7754/81,4692/103
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 7754,4692
Least Common Multiple of Numerators i.e. LCM of 7754,4692 is 18190884.
GCF of Denominators means GCF of 81,103 as per the given fractions.
GCF of 81,103 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7754,4692
2 | 7754, 4692 |
3877, 2346 |
∴ So the LCM of the given numbers is 2 x 3877 x 2346 = 18190884
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 7754,4692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7754,4692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7754,4692) x common factors =2 x 1 = 2
LCM(7754,4692) = ( 7754 × 4692 ) / 2
LCM(7754,4692) = 36381768 / 2
LCM(7754,4692) = 18190884
Lets's calculate GCF of 81,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18190884/1
Therefore the LCM of Fractions 7754/81,4692/103 is 18190884
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Greatest Common Factor
We found the factors 81,103 . The biggest common factor number is the GCF number.
So the greatest common factor 81,103 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 7754/81, 4692/103?
Answer: LCM of Numerators as per given numbers 7754/81, 4692/103 is
LCM of Numerators i.e. for 7754,4692 is 18190884
GCF of denominators i.e. for 81,103 is 1.
Thus, LCM of Fractions is 18190884.Finally, LCM of Fractions for 7754/81, 4692/103 is 18190884.