Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5198/171, 7384/6263 quickly i.e. 19191016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5198/171, 7384/6263 is 19191016.
LCM(5198/171, 7384/6263) = 19191016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5198/171,7384/6263
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 5198,7384
Least Common Multiple of Numerators i.e. LCM of 5198,7384 is 19191016.
GCF of Denominators means GCF of 171,6263 as per the given fractions.
GCF of 171,6263 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5198,7384
2 | 5198, 7384 |
2599, 3692 |
∴ So the LCM of the given numbers is 2 x 2599 x 3692 = 19191016
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 5198,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5198,7384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5198,7384) x common factors =2 x 1 = 2
LCM(5198,7384) = ( 5198 × 7384 ) / 2
LCM(5198,7384) = 38382032 / 2
LCM(5198,7384) = 19191016
Lets's calculate GCF of 171,6263
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19191016/1
Therefore the LCM of Fractions 5198/171,7384/6263 is 19191016
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 6263
List of positive integer factors of 6263 that divides 6263 without a remainder.
1,6263
Greatest Common Factor
We found the factors 171,6263 . The biggest common factor number is the GCF number.
So the greatest common factor 171,6263 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 5198/171, 7384/6263?
Answer: LCM of Numerators as per given numbers 5198/171, 7384/6263 is
LCM of Numerators i.e. for 5198,7384 is 19191016
GCF of denominators i.e. for 171,6263 is 1.
Thus, LCM of Fractions is 19191016.Finally, LCM of Fractions for 5198/171, 7384/6263 is 19191016.