Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 527/80, 427/60, 538/909 quickly i.e. 121065602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 527/80, 427/60, 538/909 is 121065602.
LCM(527/80, 427/60, 538/909) = 121065602
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 527/80,427/60,538/909
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 527,427,538
Least Common Multiple of Numerators i.e. LCM of 527,427,538 is 121065602.
GCF of Denominators means GCF of 80,60,909 as per the given fractions.
GCF of 80,60,909 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 527,427,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 121065602
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 527,427,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,427,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,427,538) x common factors =1 x 1 = 1
LCM(527,427,538) = ( 527 × 427 × 538 ) / 1
LCM(527,427,538) = 121065602 / 1
LCM(527,427,538) = 121065602
Lets's calculate GCF of 80,60,909
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121065602/1
Therefore the LCM of Fractions 527/80,427/60,538/909 is 121065602
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
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 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Greatest Common Factor
We found the factors 80,60,909 . The biggest common factor number is the GCF number.
So the greatest common factor 80,60,909 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 527/80, 427/60, 538/909?
Answer: LCM of Numerators as per given numbers 527/80, 427/60, 538/909 is
LCM of Numerators i.e. for 527,427,538 is 121065602
GCF of denominators i.e. for 80,60,909 is 1.
Thus, LCM of Fractions is 121065602.Finally, LCM of Fractions for 527/80, 427/60, 538/909 is 121065602.