Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3877/333, 8793/7292 quickly i.e. 34090461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3877/333, 8793/7292 is 34090461.
LCM(3877/333, 8793/7292) = 34090461
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3877/333,8793/7292
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 3877,8793
Least Common Multiple of Numerators i.e. LCM of 3877,8793 is 34090461.
GCF of Denominators means GCF of 333,7292 as per the given fractions.
GCF of 333,7292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3877,8793
Given numbers has no common factors except 1. So, there LCM is their product i.e 34090461
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 3877,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3877,8793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3877,8793) x common factors =1 x 1 = 1
LCM(3877,8793) = ( 3877 × 8793 ) / 1
LCM(3877,8793) = 34090461 / 1
LCM(3877,8793) = 34090461
Lets's calculate GCF of 333,7292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34090461/1
Therefore the LCM of Fractions 3877/333,8793/7292 is 34090461
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 7292
List of positive integer factors of 7292 that divides 7292 without a remainder.
1,2,4,1823,3646,7292
Greatest Common Factor
We found the factors 333,7292 . The biggest common factor number is the GCF number.
So the greatest common factor 333,7292 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 3877/333, 8793/7292?
Answer: LCM of Numerators as per given numbers 3877/333, 8793/7292 is
LCM of Numerators i.e. for 3877,8793 is 34090461
GCF of denominators i.e. for 333,7292 is 1.
Thus, LCM of Fractions is 34090461.Finally, LCM of Fractions for 3877/333, 8793/7292 is 34090461.