Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3161/166, 6349/4909 quickly i.e. 20069189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3161/166, 6349/4909 is 20069189.
LCM(3161/166, 6349/4909) = 20069189
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3161/166,6349/4909
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 3161,6349
Least Common Multiple of Numerators i.e. LCM of 3161,6349 is 20069189.
GCF of Denominators means GCF of 166,4909 as per the given fractions.
GCF of 166,4909 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3161,6349
Given numbers has no common factors except 1. So, there LCM is their product i.e 20069189
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 3161,6349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3161,6349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3161,6349) x common factors =1 x 1 = 1
LCM(3161,6349) = ( 3161 × 6349 ) / 1
LCM(3161,6349) = 20069189 / 1
LCM(3161,6349) = 20069189
Lets's calculate GCF of 166,4909
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20069189/1
Therefore the LCM of Fractions 3161/166,6349/4909 is 20069189
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 4909
List of positive integer factors of 4909 that divides 4909 without a remainder.
1,4909
Greatest Common Factor
We found the factors 166,4909 . The biggest common factor number is the GCF number.
So the greatest common factor 166,4909 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 3161/166, 6349/4909?
Answer: LCM of Numerators as per given numbers 3161/166, 6349/4909 is
LCM of Numerators i.e. for 3161,6349 is 20069189
GCF of denominators i.e. for 166,4909 is 1.
Thus, LCM of Fractions is 20069189.Finally, LCM of Fractions for 3161/166, 6349/4909 is 20069189.