Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 529/37, 963/9188 quickly i.e. 509427 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 529/37, 963/9188 is 509427.
LCM(529/37, 963/9188) = 509427
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 529/37,963/9188
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 529,963
Least Common Multiple of Numerators i.e. LCM of 529,963 is 509427.
GCF of Denominators means GCF of 37,9188 as per the given fractions.
GCF of 37,9188 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 529,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 509427
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 529,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,963) x common factors =1 x 1 = 1
LCM(529,963) = ( 529 × 963 ) / 1
LCM(529,963) = 509427 / 1
LCM(529,963) = 509427
Lets's calculate GCF of 37,9188
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 509427/1
Therefore the LCM of Fractions 529/37,963/9188 is 509427
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 9188
List of positive integer factors of 9188 that divides 9188 without a remainder.
1,2,4,2297,4594,9188
Greatest Common Factor
We found the factors 37,9188 . The biggest common factor number is the GCF number.
So the greatest common factor 37,9188 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 529/37, 963/9188?
Answer: LCM of Numerators as per given numbers 529/37, 963/9188 is
LCM of Numerators i.e. for 529,963 is 509427
GCF of denominators i.e. for 37,9188 is 1.
Thus, LCM of Fractions is 509427.Finally, LCM of Fractions for 529/37, 963/9188 is 509427.