Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7706/16, 5171/323 quickly i.e. 39847726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7706/16, 5171/323 is 39847726.
LCM(7706/16, 5171/323) = 39847726
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7706/16,5171/323
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 7706,5171
Least Common Multiple of Numerators i.e. LCM of 7706,5171 is 39847726.
GCF of Denominators means GCF of 16,323 as per the given fractions.
GCF of 16,323 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7706,5171
Given numbers has no common factors except 1. So, there LCM is their product i.e 39847726
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 7706,5171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7706,5171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7706,5171) x common factors =1 x 1 = 1
LCM(7706,5171) = ( 7706 × 5171 ) / 1
LCM(7706,5171) = 39847726 / 1
LCM(7706,5171) = 39847726
Lets's calculate GCF of 16,323
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39847726/1
Therefore the LCM of Fractions 7706/16,5171/323 is 39847726
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors 16,323 . The biggest common factor number is the GCF number.
So the greatest common factor 16,323 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 7706/16, 5171/323?
Answer: LCM of Numerators as per given numbers 7706/16, 5171/323 is
LCM of Numerators i.e. for 7706,5171 is 39847726
GCF of denominators i.e. for 16,323 is 1.
Thus, LCM of Fractions is 39847726.Finally, LCM of Fractions for 7706/16, 5171/323 is 39847726.