Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/112, 1002/1747 quickly i.e. 91182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/112, 1002/1747 is 91182.
LCM(91/112, 1002/1747) = 91182
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/112,1002/1747
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 91,1002
Least Common Multiple of Numerators i.e. LCM of 91,1002 is 91182.
GCF of Denominators means GCF of 112,1747 as per the given fractions.
GCF of 112,1747 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,1002
Given numbers has no common factors except 1. So, there LCM is their product i.e 91182
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 91,1002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,1002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,1002) x common factors =1 x 1 = 1
LCM(91,1002) = ( 91 × 1002 ) / 1
LCM(91,1002) = 91182 / 1
LCM(91,1002) = 91182
Lets's calculate GCF of 112,1747
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91182/1
Therefore the LCM of Fractions 91/112,1002/1747 is 91182
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 1747
List of positive integer factors of 1747 that divides 1747 without a remainder.
1,1747
Greatest Common Factor
We found the factors 112,1747 . The biggest common factor number is the GCF number.
So the greatest common factor 112,1747 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 91/112, 1002/1747?
Answer: LCM of Numerators as per given numbers 91/112, 1002/1747 is
LCM of Numerators i.e. for 91,1002 is 91182
GCF of denominators i.e. for 112,1747 is 1.
Thus, LCM of Fractions is 91182.Finally, LCM of Fractions for 91/112, 1002/1747 is 91182.