Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/796, 9682/2991 quickly i.e. 261414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/796, 9682/2991 is 261414.
LCM(27/796, 9682/2991) = 261414
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/796,9682/2991
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 27,9682
Least Common Multiple of Numerators i.e. LCM of 27,9682 is 261414.
GCF of Denominators means GCF of 796,2991 as per the given fractions.
GCF of 796,2991 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,9682
Given numbers has no common factors except 1. So, there LCM is their product i.e 261414
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 27,9682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,9682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,9682) x common factors =1 x 1 = 1
LCM(27,9682) = ( 27 × 9682 ) / 1
LCM(27,9682) = 261414 / 1
LCM(27,9682) = 261414
Lets's calculate GCF of 796,2991
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261414/1
Therefore the LCM of Fractions 27/796,9682/2991 is 261414
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 2991
List of positive integer factors of 2991 that divides 2991 without a remainder.
1,3,997,2991
Greatest Common Factor
We found the factors 796,2991 . The biggest common factor number is the GCF number.
So the greatest common factor 796,2991 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 27/796, 9682/2991?
Answer: LCM of Numerators as per given numbers 27/796, 9682/2991 is
LCM of Numerators i.e. for 27,9682 is 261414
GCF of denominators i.e. for 796,2991 is 1.
Thus, LCM of Fractions is 261414.Finally, LCM of Fractions for 27/796, 9682/2991 is 261414.