Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6383/919, 1232/6962 quickly i.e. 7863856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6383/919, 1232/6962 is 7863856.
LCM(6383/919, 1232/6962) = 7863856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6383/919,1232/6962
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 6383,1232
Least Common Multiple of Numerators i.e. LCM of 6383,1232 is 7863856.
GCF of Denominators means GCF of 919,6962 as per the given fractions.
GCF of 919,6962 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6383,1232
Given numbers has no common factors except 1. So, there LCM is their product i.e 7863856
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 6383,1232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6383,1232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6383,1232) x common factors =1 x 1 = 1
LCM(6383,1232) = ( 6383 × 1232 ) / 1
LCM(6383,1232) = 7863856 / 1
LCM(6383,1232) = 7863856
Lets's calculate GCF of 919,6962
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7863856/1
Therefore the LCM of Fractions 6383/919,1232/6962 is 7863856
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 6962
List of positive integer factors of 6962 that divides 6962 without a remainder.
1,2,59,118,3481,6962
Greatest Common Factor
We found the factors 919,6962 . The biggest common factor number is the GCF number.
So the greatest common factor 919,6962 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 6383/919, 1232/6962?
Answer: LCM of Numerators as per given numbers 6383/919, 1232/6962 is
LCM of Numerators i.e. for 6383,1232 is 7863856
GCF of denominators i.e. for 919,6962 is 1.
Thus, LCM of Fractions is 7863856.Finally, LCM of Fractions for 6383/919, 1232/6962 is 7863856.