Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/364, 2113/7706 quickly i.e. 99311/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/364, 2113/7706 is 99311/2.
LCM(47/364, 2113/7706) = 99311/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/364,2113/7706
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 47,2113
Least Common Multiple of Numerators i.e. LCM of 47,2113 is 99311.
GCF of Denominators means GCF of 364,7706 as per the given fractions.
GCF of 364,7706 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,2113
Given numbers has no common factors except 1. So, there LCM is their product i.e 99311
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 47,2113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,2113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,2113) x common factors =1 x 1 = 1
LCM(47,2113) = ( 47 × 2113 ) / 1
LCM(47,2113) = 99311 / 1
LCM(47,2113) = 99311
Lets's calculate GCF of 364,7706
2 | 364, 7706 |
182, 3853 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99311/2
Therefore the LCM of Fractions 47/364,2113/7706 is 99311/2
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 7706
List of positive integer factors of 7706 that divides 7706 without a remainder.
1,2,3853,7706
Greatest Common Factor
We found the factors 364,7706 . The biggest common factor number is the GCF number.
So the greatest common factor 364,7706 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 47/364, 2113/7706?
Answer: LCM of Numerators as per given numbers 47/364, 2113/7706 is
LCM of Numerators i.e. for 47,2113 is 99311
GCF of denominators i.e. for 364,7706 is 2.
Thus, LCM of Fractions is 99311/2.Finally, LCM of Fractions for 47/364, 2113/7706 is 99311/2.