Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/52, 871/31, 809/225 quickly i.e. 21139170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/52, 871/31, 809/225 is 21139170.
LCM(30/52, 871/31, 809/225) = 21139170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/52,871/31,809/225
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 30,871,809
Least Common Multiple of Numerators i.e. LCM of 30,871,809 is 21139170.
GCF of Denominators means GCF of 52,31,225 as per the given fractions.
GCF of 52,31,225 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,871,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 21139170
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 30,871,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,871,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,871,809) x common factors =1 x 1 = 1
LCM(30,871,809) = ( 30 × 871 × 809 ) / 1
LCM(30,871,809) = 21139170 / 1
LCM(30,871,809) = 21139170
Lets's calculate GCF of 52,31,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21139170/1
Therefore the LCM of Fractions 30/52,871/31,809/225 is 21139170
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 52,31,225 . The biggest common factor number is the GCF number.
So the greatest common factor 52,31,225 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 30/52, 871/31, 809/225?
Answer: LCM of Numerators as per given numbers 30/52, 871/31, 809/225 is
LCM of Numerators i.e. for 30,871,809 is 21139170
GCF of denominators i.e. for 52,31,225 is 1.
Thus, LCM of Fractions is 21139170.Finally, LCM of Fractions for 30/52, 871/31, 809/225 is 21139170.