Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/325, 3181/2014 quickly i.e. 178136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/325, 3181/2014 is 178136.
LCM(56/325, 3181/2014) = 178136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/325,3181/2014
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 56,3181
Least Common Multiple of Numerators i.e. LCM of 56,3181 is 178136.
GCF of Denominators means GCF of 325,2014 as per the given fractions.
GCF of 325,2014 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,3181
Given numbers has no common factors except 1. So, there LCM is their product i.e 178136
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 56,3181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,3181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,3181) x common factors =1 x 1 = 1
LCM(56,3181) = ( 56 × 3181 ) / 1
LCM(56,3181) = 178136 / 1
LCM(56,3181) = 178136
Lets's calculate GCF of 325,2014
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178136/1
Therefore the LCM of Fractions 56/325,3181/2014 is 178136
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 2014
List of positive integer factors of 2014 that divides 2014 without a remainder.
1,2,19,38,53,106,1007,2014
Greatest Common Factor
We found the factors 325,2014 . The biggest common factor number is the GCF number.
So the greatest common factor 325,2014 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 56/325, 3181/2014?
Answer: LCM of Numerators as per given numbers 56/325, 3181/2014 is
LCM of Numerators i.e. for 56,3181 is 178136
GCF of denominators i.e. for 325,2014 is 1.
Thus, LCM of Fractions is 178136.Finally, LCM of Fractions for 56/325, 3181/2014 is 178136.