Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/52, 401/5177 quickly i.e. 97443 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/52, 401/5177 is 97443.
LCM(243/52, 401/5177) = 97443
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/52,401/5177
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 243,401
Least Common Multiple of Numerators i.e. LCM of 243,401 is 97443.
GCF of Denominators means GCF of 52,5177 as per the given fractions.
GCF of 52,5177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 97443
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 243,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,401) x common factors =1 x 1 = 1
LCM(243,401) = ( 243 × 401 ) / 1
LCM(243,401) = 97443 / 1
LCM(243,401) = 97443
Lets's calculate GCF of 52,5177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97443/1
Therefore the LCM of Fractions 243/52,401/5177 is 97443
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 5177
List of positive integer factors of 5177 that divides 5177 without a remainder.
1,31,167,5177
Greatest Common Factor
We found the factors 52,5177 . The biggest common factor number is the GCF number.
So the greatest common factor 52,5177 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 243/52, 401/5177?
Answer: LCM of Numerators as per given numbers 243/52, 401/5177 is
LCM of Numerators i.e. for 243,401 is 97443
GCF of denominators i.e. for 52,5177 is 1.
Thus, LCM of Fractions is 97443.Finally, LCM of Fractions for 243/52, 401/5177 is 97443.