Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 922/831, 1949/284 quickly i.e. 1796978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 922/831, 1949/284 is 1796978.
LCM(922/831, 1949/284) = 1796978
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 922/831,1949/284
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 922,1949
Least Common Multiple of Numerators i.e. LCM of 922,1949 is 1796978.
GCF of Denominators means GCF of 831,284 as per the given fractions.
GCF of 831,284 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 922,1949
Given numbers has no common factors except 1. So, there LCM is their product i.e 1796978
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 922,1949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,1949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,1949) x common factors =1 x 1 = 1
LCM(922,1949) = ( 922 × 1949 ) / 1
LCM(922,1949) = 1796978 / 1
LCM(922,1949) = 1796978
Lets's calculate GCF of 831,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1796978/1
Therefore the LCM of Fractions 922/831,1949/284 is 1796978
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 831,284 . The biggest common factor number is the GCF number.
So the greatest common factor 831,284 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 922/831, 1949/284?
Answer: LCM of Numerators as per given numbers 922/831, 1949/284 is
LCM of Numerators i.e. for 922,1949 is 1796978
GCF of denominators i.e. for 831,284 is 1.
Thus, LCM of Fractions is 1796978.Finally, LCM of Fractions for 922/831, 1949/284 is 1796978.