Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7982/273, 3194/3877 quickly i.e. 12747254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7982/273, 3194/3877 is 12747254.
LCM(7982/273, 3194/3877) = 12747254
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7982/273,3194/3877
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 7982,3194
Least Common Multiple of Numerators i.e. LCM of 7982,3194 is 12747254.
GCF of Denominators means GCF of 273,3877 as per the given fractions.
GCF of 273,3877 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7982,3194
2 | 7982, 3194 |
3991, 1597 |
∴ So the LCM of the given numbers is 2 x 3991 x 1597 = 12747254
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 7982,3194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7982,3194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7982,3194) x common factors =2 x 1 = 2
LCM(7982,3194) = ( 7982 × 3194 ) / 2
LCM(7982,3194) = 25494508 / 2
LCM(7982,3194) = 12747254
Lets's calculate GCF of 273,3877
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12747254/1
Therefore the LCM of Fractions 7982/273,3194/3877 is 12747254
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 3877
List of positive integer factors of 3877 that divides 3877 without a remainder.
1,3877
Greatest Common Factor
We found the factors 273,3877 . The biggest common factor number is the GCF number.
So the greatest common factor 273,3877 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 7982/273, 3194/3877?
Answer: LCM of Numerators as per given numbers 7982/273, 3194/3877 is
LCM of Numerators i.e. for 7982,3194 is 12747254
GCF of denominators i.e. for 273,3877 is 1.
Thus, LCM of Fractions is 12747254.Finally, LCM of Fractions for 7982/273, 3194/3877 is 12747254.