Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/55, 82/47, 13/44, 19/582 quickly i.e. 1964638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/55, 82/47, 13/44, 19/582 is 1964638.
LCM(97/55, 82/47, 13/44, 19/582) = 1964638
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/55,82/47,13/44,19/582
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 97,82,13,19
Least Common Multiple of Numerators i.e. LCM of 97,82,13,19 is 1964638.
GCF of Denominators means GCF of 55,47,44,582 as per the given fractions.
GCF of 55,47,44,582 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,82,13,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 1964638
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 97,82,13,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,82,13,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,82,13,19) x common factors =1 x 1 = 1
LCM(97,82,13,19) = ( 97 × 82 × 13 × 19 ) / 1
LCM(97,82,13,19) = 1964638 / 1
LCM(97,82,13,19) = 1964638
Lets's calculate GCF of 55,47,44,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1964638/1
Therefore the LCM of Fractions 97/55,82/47,13/44,19/582 is 1964638
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 55,47,44,582 . The biggest common factor number is the GCF number.
So the greatest common factor 55,47,44,582 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 97/55, 82/47, 13/44, 19/582?
Answer: LCM of Numerators as per given numbers 97/55, 82/47, 13/44, 19/582 is
LCM of Numerators i.e. for 97,82,13,19 is 1964638
GCF of denominators i.e. for 55,47,44,582 is 1.
Thus, LCM of Fractions is 1964638.Finally, LCM of Fractions for 97/55, 82/47, 13/44, 19/582 is 1964638.