Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 471/39, 892/7388 quickly i.e. 420132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 471/39, 892/7388 is 420132.
LCM(471/39, 892/7388) = 420132
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 471/39,892/7388
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 471,892
Least Common Multiple of Numerators i.e. LCM of 471,892 is 420132.
GCF of Denominators means GCF of 39,7388 as per the given fractions.
GCF of 39,7388 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 471,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 420132
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 471,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,892) x common factors =1 x 1 = 1
LCM(471,892) = ( 471 × 892 ) / 1
LCM(471,892) = 420132 / 1
LCM(471,892) = 420132
Lets's calculate GCF of 39,7388
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420132/1
Therefore the LCM of Fractions 471/39,892/7388 is 420132
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 7388
List of positive integer factors of 7388 that divides 7388 without a remainder.
1,2,4,1847,3694,7388
Greatest Common Factor
We found the factors 39,7388 . The biggest common factor number is the GCF number.
So the greatest common factor 39,7388 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 471/39, 892/7388?
Answer: LCM of Numerators as per given numbers 471/39, 892/7388 is
LCM of Numerators i.e. for 471,892 is 420132
GCF of denominators i.e. for 39,7388 is 1.
Thus, LCM of Fractions is 420132.Finally, LCM of Fractions for 471/39, 892/7388 is 420132.