Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/47, 80/39, 729/53 quickly i.e. 58320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/47, 80/39, 729/53 is 58320.
LCM(20/47, 80/39, 729/53) = 58320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/47,80/39,729/53
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 20,80,729
Least Common Multiple of Numerators i.e. LCM of 20,80,729 is 58320.
GCF of Denominators means GCF of 47,39,53 as per the given fractions.
GCF of 47,39,53 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,80,729
2 | 20, 80, 729 |
2 | 10, 40, 729 |
5 | 5, 20, 729 |
1, 4, 729 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 4 x 729 = 58320
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 20,80,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,80,729) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,80,729) x common factors =1 x 20 = 20
LCM(20,80,729) = ( 20 × 80 × 729 ) / 20
LCM(20,80,729) = 1166400 / 20
LCM(20,80,729) = 58320
Lets's calculate GCF of 47,39,53
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58320/1
Therefore the LCM of Fractions 20/47,80/39,729/53 is 58320
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Greatest Common Factor
We found the factors 47,39,53 . The biggest common factor number is the GCF number.
So the greatest common factor 47,39,53 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 20/47, 80/39, 729/53?
Answer: LCM of Numerators as per given numbers 20/47, 80/39, 729/53 is
LCM of Numerators i.e. for 20,80,729 is 58320
GCF of denominators i.e. for 47,39,53 is 1.
Thus, LCM of Fractions is 58320.Finally, LCM of Fractions for 20/47, 80/39, 729/53 is 58320.