Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/996, 1361/6541 quickly i.e. 24498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/996, 1361/6541 is 24498.
LCM(18/996, 1361/6541) = 24498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/996,1361/6541
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 18,1361
Least Common Multiple of Numerators i.e. LCM of 18,1361 is 24498.
GCF of Denominators means GCF of 996,6541 as per the given fractions.
GCF of 996,6541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,1361
Given numbers has no common factors except 1. So, there LCM is their product i.e 24498
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 18,1361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,1361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,1361) x common factors =1 x 1 = 1
LCM(18,1361) = ( 18 × 1361 ) / 1
LCM(18,1361) = 24498 / 1
LCM(18,1361) = 24498
Lets's calculate GCF of 996,6541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24498/1
Therefore the LCM of Fractions 18/996,1361/6541 is 24498
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 6541
List of positive integer factors of 6541 that divides 6541 without a remainder.
1,31,211,6541
Greatest Common Factor
We found the factors 996,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 996,6541 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 18/996, 1361/6541?
Answer: LCM of Numerators as per given numbers 18/996, 1361/6541 is
LCM of Numerators i.e. for 18,1361 is 24498
GCF of denominators i.e. for 996,6541 is 1.
Thus, LCM of Fractions is 24498.Finally, LCM of Fractions for 18/996, 1361/6541 is 24498.