Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/771, 3749/2942 quickly i.e. 101223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/771, 3749/2942 is 101223.
LCM(27/771, 3749/2942) = 101223
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/771,3749/2942
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 27,3749
Least Common Multiple of Numerators i.e. LCM of 27,3749 is 101223.
GCF of Denominators means GCF of 771,2942 as per the given fractions.
GCF of 771,2942 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,3749
Given numbers has no common factors except 1. So, there LCM is their product i.e 101223
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 27,3749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,3749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,3749) x common factors =1 x 1 = 1
LCM(27,3749) = ( 27 × 3749 ) / 1
LCM(27,3749) = 101223 / 1
LCM(27,3749) = 101223
Lets's calculate GCF of 771,2942
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101223/1
Therefore the LCM of Fractions 27/771,3749/2942 is 101223
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 2942
List of positive integer factors of 2942 that divides 2942 without a remainder.
1,2,1471,2942
Greatest Common Factor
We found the factors 771,2942 . The biggest common factor number is the GCF number.
So the greatest common factor 771,2942 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 27/771, 3749/2942?
Answer: LCM of Numerators as per given numbers 27/771, 3749/2942 is
LCM of Numerators i.e. for 27,3749 is 101223
GCF of denominators i.e. for 771,2942 is 1.
Thus, LCM of Fractions is 101223.Finally, LCM of Fractions for 27/771, 3749/2942 is 101223.