Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7627/933, 3877/1398 quickly i.e. 29569879/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7627/933, 3877/1398 is 29569879/3.
LCM(7627/933, 3877/1398) = 29569879/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7627/933,3877/1398
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 7627,3877
Least Common Multiple of Numerators i.e. LCM of 7627,3877 is 29569879.
GCF of Denominators means GCF of 933,1398 as per the given fractions.
GCF of 933,1398 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7627,3877
Given numbers has no common factors except 1. So, there LCM is their product i.e 29569879
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 7627,3877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7627,3877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7627,3877) x common factors =1 x 1 = 1
LCM(7627,3877) = ( 7627 × 3877 ) / 1
LCM(7627,3877) = 29569879 / 1
LCM(7627,3877) = 29569879
Lets's calculate GCF of 933,1398
3 | 933, 1398 |
311, 466 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29569879/3
Therefore the LCM of Fractions 7627/933,3877/1398 is 29569879/3
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 1398
List of positive integer factors of 1398 that divides 1398 without a remainder.
1,2,3,6,233,466,699,1398
Greatest Common Factor
We found the factors 933,1398 . The biggest common factor number is the GCF number.
So the greatest common factor 933,1398 is 3.
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 7627/933, 3877/1398?
Answer: LCM of Numerators as per given numbers 7627/933, 3877/1398 is
LCM of Numerators i.e. for 7627,3877 is 29569879
GCF of denominators i.e. for 933,1398 is 3.
Thus, LCM of Fractions is 29569879/3.Finally, LCM of Fractions for 7627/933, 3877/1398 is 29569879/3.