Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/44, 45/57, 97/80, 487/55 quickly i.e. 40389345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/44, 45/57, 97/80, 487/55 is 40389345.
LCM(19/44, 45/57, 97/80, 487/55) = 40389345
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/44,45/57,97/80,487/55
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 19,45,97,487
Least Common Multiple of Numerators i.e. LCM of 19,45,97,487 is 40389345.
GCF of Denominators means GCF of 44,57,80,55 as per the given fractions.
GCF of 44,57,80,55 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,45,97,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 40389345
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 19,45,97,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,45,97,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,45,97,487) x common factors =1 x 1 = 1
LCM(19,45,97,487) = ( 19 × 45 × 97 × 487 ) / 1
LCM(19,45,97,487) = 40389345 / 1
LCM(19,45,97,487) = 40389345
Lets's calculate GCF of 44,57,80,55
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40389345/1
Therefore the LCM of Fractions 19/44,45/57,97/80,487/55 is 40389345
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
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 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Greatest Common Factor
We found the factors 44,57,80,55 . The biggest common factor number is the GCF number.
So the greatest common factor 44,57,80,55 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 19/44, 45/57, 97/80, 487/55?
Answer: LCM of Numerators as per given numbers 19/44, 45/57, 97/80, 487/55 is
LCM of Numerators i.e. for 19,45,97,487 is 40389345
GCF of denominators i.e. for 44,57,80,55 is 1.
Thus, LCM of Fractions is 40389345.Finally, LCM of Fractions for 19/44, 45/57, 97/80, 487/55 is 40389345.