Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 327/95, 892/7771 quickly i.e. 291684/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 327/95, 892/7771 is 291684/19.
LCM(327/95, 892/7771) = 291684/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 327/95,892/7771
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 327,892
Least Common Multiple of Numerators i.e. LCM of 327,892 is 291684.
GCF of Denominators means GCF of 95,7771 as per the given fractions.
GCF of 95,7771 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 327,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 291684
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 327,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,892) x common factors =1 x 1 = 1
LCM(327,892) = ( 327 × 892 ) / 1
LCM(327,892) = 291684 / 1
LCM(327,892) = 291684
Lets's calculate GCF of 95,7771
19 | 95, 7771 |
5, 409 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291684/19
Therefore the LCM of Fractions 327/95,892/7771 is 291684/19
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 7771
List of positive integer factors of 7771 that divides 7771 without a remainder.
1,19,409,7771
Greatest Common Factor
We found the factors 95,7771 . The biggest common factor number is the GCF number.
So the greatest common factor 95,7771 is 19.
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 327/95, 892/7771?
Answer: LCM of Numerators as per given numbers 327/95, 892/7771 is
LCM of Numerators i.e. for 327,892 is 291684
GCF of denominators i.e. for 95,7771 is 19.
Thus, LCM of Fractions is 291684/19.Finally, LCM of Fractions for 327/95, 892/7771 is 291684/19.