Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/927, 31/855, 747/898 quickly i.e. 254727 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/927, 31/855, 747/898 is 254727.
LCM(11/927, 31/855, 747/898) = 254727
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/927,31/855,747/898
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 11,31,747
Least Common Multiple of Numerators i.e. LCM of 11,31,747 is 254727.
GCF of Denominators means GCF of 927,855,898 as per the given fractions.
GCF of 927,855,898 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,31,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 254727
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 11,31,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,31,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,31,747) x common factors =1 x 1 = 1
LCM(11,31,747) = ( 11 × 31 × 747 ) / 1
LCM(11,31,747) = 254727 / 1
LCM(11,31,747) = 254727
Lets's calculate GCF of 927,855,898
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254727/1
Therefore the LCM of Fractions 11/927,31/855,747/898 is 254727
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Greatest Common Factor
We found the factors 927,855,898 . The biggest common factor number is the GCF number.
So the greatest common factor 927,855,898 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 11/927, 31/855, 747/898?
Answer: LCM of Numerators as per given numbers 11/927, 31/855, 747/898 is
LCM of Numerators i.e. for 11,31,747 is 254727
GCF of denominators i.e. for 927,855,898 is 1.
Thus, LCM of Fractions is 254727.Finally, LCM of Fractions for 11/927, 31/855, 747/898 is 254727.