Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/327, 85/777, 746/884 quickly i.e. 1204790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/327, 85/777, 746/884 is 1204790.
LCM(19/327, 85/777, 746/884) = 1204790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/327,85/777,746/884
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 19,85,746
Least Common Multiple of Numerators i.e. LCM of 19,85,746 is 1204790.
GCF of Denominators means GCF of 327,777,884 as per the given fractions.
GCF of 327,777,884 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,85,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 1204790
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 19,85,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,85,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,85,746) x common factors =1 x 1 = 1
LCM(19,85,746) = ( 19 × 85 × 746 ) / 1
LCM(19,85,746) = 1204790 / 1
LCM(19,85,746) = 1204790
Lets's calculate GCF of 327,777,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1204790/1
Therefore the LCM of Fractions 19/327,85/777,746/884 is 1204790
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 327,777,884 . The biggest common factor number is the GCF number.
So the greatest common factor 327,777,884 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 19/327, 85/777, 746/884?
Answer: LCM of Numerators as per given numbers 19/327, 85/777, 746/884 is
LCM of Numerators i.e. for 19,85,746 is 1204790
GCF of denominators i.e. for 327,777,884 is 1.
Thus, LCM of Fractions is 1204790.Finally, LCM of Fractions for 19/327, 85/777, 746/884 is 1204790.