Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7367/997, 3783/1879 quickly i.e. 27869361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7367/997, 3783/1879 is 27869361.
LCM(7367/997, 3783/1879) = 27869361
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7367/997,3783/1879
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 7367,3783
Least Common Multiple of Numerators i.e. LCM of 7367,3783 is 27869361.
GCF of Denominators means GCF of 997,1879 as per the given fractions.
GCF of 997,1879 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7367,3783
Given numbers has no common factors except 1. So, there LCM is their product i.e 27869361
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 7367,3783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7367,3783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7367,3783) x common factors =1 x 1 = 1
LCM(7367,3783) = ( 7367 × 3783 ) / 1
LCM(7367,3783) = 27869361 / 1
LCM(7367,3783) = 27869361
Lets's calculate GCF of 997,1879
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27869361/1
Therefore the LCM of Fractions 7367/997,3783/1879 is 27869361
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 1879
List of positive integer factors of 1879 that divides 1879 without a remainder.
1,1879
Greatest Common Factor
We found the factors 997,1879 . The biggest common factor number is the GCF number.
So the greatest common factor 997,1879 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 7367/997, 3783/1879?
Answer: LCM of Numerators as per given numbers 7367/997, 3783/1879 is
LCM of Numerators i.e. for 7367,3783 is 27869361
GCF of denominators i.e. for 997,1879 is 1.
Thus, LCM of Fractions is 27869361.Finally, LCM of Fractions for 7367/997, 3783/1879 is 27869361.