Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/90, 19/60, 54/487 quickly i.e. 87210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/90, 19/60, 54/487 is 87210.
LCM(85/90, 19/60, 54/487) = 87210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/90,19/60,54/487
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 85,19,54
Least Common Multiple of Numerators i.e. LCM of 85,19,54 is 87210.
GCF of Denominators means GCF of 90,60,487 as per the given fractions.
GCF of 90,60,487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,19,54
Given numbers has no common factors except 1. So, there LCM is their product i.e 87210
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 85,19,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,19,54) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,19,54) x common factors =1 x 1 = 1
LCM(85,19,54) = ( 85 × 19 × 54 ) / 1
LCM(85,19,54) = 87210 / 1
LCM(85,19,54) = 87210
Lets's calculate GCF of 90,60,487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87210/1
Therefore the LCM of Fractions 85/90,19/60,54/487 is 87210
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
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 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Greatest Common Factor
We found the factors 90,60,487 . The biggest common factor number is the GCF number.
So the greatest common factor 90,60,487 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 85/90, 19/60, 54/487?
Answer: LCM of Numerators as per given numbers 85/90, 19/60, 54/487 is
LCM of Numerators i.e. for 85,19,54 is 87210
GCF of denominators i.e. for 90,60,487 is 1.
Thus, LCM of Fractions is 87210.Finally, LCM of Fractions for 85/90, 19/60, 54/487 is 87210.