Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7172/184, 3137/4349 quickly i.e. 22498564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7172/184, 3137/4349 is 22498564.
LCM(7172/184, 3137/4349) = 22498564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7172/184,3137/4349
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 7172,3137
Least Common Multiple of Numerators i.e. LCM of 7172,3137 is 22498564.
GCF of Denominators means GCF of 184,4349 as per the given fractions.
GCF of 184,4349 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7172,3137
Given numbers has no common factors except 1. So, there LCM is their product i.e 22498564
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 7172,3137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7172,3137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7172,3137) x common factors =1 x 1 = 1
LCM(7172,3137) = ( 7172 × 3137 ) / 1
LCM(7172,3137) = 22498564 / 1
LCM(7172,3137) = 22498564
Lets's calculate GCF of 184,4349
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22498564/1
Therefore the LCM of Fractions 7172/184,3137/4349 is 22498564
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 4349
List of positive integer factors of 4349 that divides 4349 without a remainder.
1,4349
Greatest Common Factor
We found the factors 184,4349 . The biggest common factor number is the GCF number.
So the greatest common factor 184,4349 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 7172/184, 3137/4349?
Answer: LCM of Numerators as per given numbers 7172/184, 3137/4349 is
LCM of Numerators i.e. for 7172,3137 is 22498564
GCF of denominators i.e. for 184,4349 is 1.
Thus, LCM of Fractions is 22498564.Finally, LCM of Fractions for 7172/184, 3137/4349 is 22498564.