Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 331/60, 171/3167 quickly i.e. 56601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 331/60, 171/3167 is 56601.
LCM(331/60, 171/3167) = 56601
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 331/60,171/3167
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 331,171
Least Common Multiple of Numerators i.e. LCM of 331,171 is 56601.
GCF of Denominators means GCF of 60,3167 as per the given fractions.
GCF of 60,3167 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 331,171
Given numbers has no common factors except 1. So, there LCM is their product i.e 56601
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 331,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,171) x common factors =1 x 1 = 1
LCM(331,171) = ( 331 × 171 ) / 1
LCM(331,171) = 56601 / 1
LCM(331,171) = 56601
Lets's calculate GCF of 60,3167
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56601/1
Therefore the LCM of Fractions 331/60,171/3167 is 56601
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 3167
List of positive integer factors of 3167 that divides 3167 without a remainder.
1,3167
Greatest Common Factor
We found the factors 60,3167 . The biggest common factor number is the GCF number.
So the greatest common factor 60,3167 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 331/60, 171/3167?
Answer: LCM of Numerators as per given numbers 331/60, 171/3167 is
LCM of Numerators i.e. for 331,171 is 56601
GCF of denominators i.e. for 60,3167 is 1.
Thus, LCM of Fractions is 56601.Finally, LCM of Fractions for 331/60, 171/3167 is 56601.