Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/166, 7969/4703 quickly i.e. 741117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/166, 7969/4703 is 741117.
LCM(93/166, 7969/4703) = 741117
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/166,7969/4703
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 93,7969
Least Common Multiple of Numerators i.e. LCM of 93,7969 is 741117.
GCF of Denominators means GCF of 166,4703 as per the given fractions.
GCF of 166,4703 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,7969
Given numbers has no common factors except 1. So, there LCM is their product i.e 741117
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 93,7969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,7969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,7969) x common factors =1 x 1 = 1
LCM(93,7969) = ( 93 × 7969 ) / 1
LCM(93,7969) = 741117 / 1
LCM(93,7969) = 741117
Lets's calculate GCF of 166,4703
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 741117/1
Therefore the LCM of Fractions 93/166,7969/4703 is 741117
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 4703
List of positive integer factors of 4703 that divides 4703 without a remainder.
1,4703
Greatest Common Factor
We found the factors 166,4703 . The biggest common factor number is the GCF number.
So the greatest common factor 166,4703 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 93/166, 7969/4703?
Answer: LCM of Numerators as per given numbers 93/166, 7969/4703 is
LCM of Numerators i.e. for 93,7969 is 741117
GCF of denominators i.e. for 166,4703 is 1.
Thus, LCM of Fractions is 741117.Finally, LCM of Fractions for 93/166, 7969/4703 is 741117.