Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/11, 3/96, 41/87, 73/927 quickly i.e. 8979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/11, 3/96, 41/87, 73/927 is 8979.
LCM(1/11, 3/96, 41/87, 73/927) = 8979
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/11,3/96,41/87,73/927
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 1,3,41,73
Least Common Multiple of Numerators i.e. LCM of 1,3,41,73 is 8979.
GCF of Denominators means GCF of 11,96,87,927 as per the given fractions.
GCF of 11,96,87,927 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,3,41,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 8979
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 1,3,41,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,3,41,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,3,41,73) x common factors =1 x 1 = 1
LCM(1,3,41,73) = ( 1 × 3 × 41 × 73 ) / 1
LCM(1,3,41,73) = 8979 / 1
LCM(1,3,41,73) = 8979
Lets's calculate GCF of 11,96,87,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8979/1
Therefore the LCM of Fractions 1/11,3/96,41/87,73/927 is 8979
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Greatest Common Factor
We found the factors 11,96,87,927 . The biggest common factor number is the GCF number.
So the greatest common factor 11,96,87,927 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 1/11, 3/96, 41/87, 73/927?
Answer: LCM of Numerators as per given numbers 1/11, 3/96, 41/87, 73/927 is
LCM of Numerators i.e. for 1,3,41,73 is 8979
GCF of denominators i.e. for 11,96,87,927 is 1.
Thus, LCM of Fractions is 8979.Finally, LCM of Fractions for 1/11, 3/96, 41/87, 73/927 is 8979.