Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/922, 3889/7663 quickly i.e. 50557 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/922, 3889/7663 is 50557.
LCM(13/922, 3889/7663) = 50557
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/922,3889/7663
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 13,3889
Least Common Multiple of Numerators i.e. LCM of 13,3889 is 50557.
GCF of Denominators means GCF of 922,7663 as per the given fractions.
GCF of 922,7663 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,3889
Given numbers has no common factors except 1. So, there LCM is their product i.e 50557
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 13,3889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,3889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,3889) x common factors =1 x 1 = 1
LCM(13,3889) = ( 13 × 3889 ) / 1
LCM(13,3889) = 50557 / 1
LCM(13,3889) = 50557
Lets's calculate GCF of 922,7663
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50557/1
Therefore the LCM of Fractions 13/922,3889/7663 is 50557
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 7663
List of positive integer factors of 7663 that divides 7663 without a remainder.
1,79,97,7663
Greatest Common Factor
We found the factors 922,7663 . The biggest common factor number is the GCF number.
So the greatest common factor 922,7663 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 13/922, 3889/7663?
Answer: LCM of Numerators as per given numbers 13/922, 3889/7663 is
LCM of Numerators i.e. for 13,3889 is 50557
GCF of denominators i.e. for 922,7663 is 1.
Thus, LCM of Fractions is 50557.Finally, LCM of Fractions for 13/922, 3889/7663 is 50557.