Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/80, 20/72, 71/60 quickly i.e. 7455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/80, 20/72, 71/60 is 7455.
LCM(21/80, 20/72, 71/60) = 7455
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/80,20/72,71/60
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 21,20,71
Least Common Multiple of Numerators i.e. LCM of 21,20,71 is 29820.
GCF of Denominators means GCF of 80,72,60 as per the given fractions.
GCF of 80,72,60 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,20,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 29820
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 21,20,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,20,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,20,71) x common factors =1 x 1 = 1
LCM(21,20,71) = ( 21 × 20 × 71 ) / 1
LCM(21,20,71) = 29820 / 1
LCM(21,20,71) = 29820
Lets's calculate GCF of 80,72,60
2 | 80, 72, 60 |
2 | 40, 36, 30 |
20, 18, 15 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29820/4
Therefore the LCM of Fractions 21/80,20/72,71/60 is 7455
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 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
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
Greatest Common Factor
We found the factors 80,72,60 . The biggest common factor number is the GCF number.
So the greatest common factor 80,72,60 is 4.
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 21/80, 20/72, 71/60?
Answer: LCM of Numerators as per given numbers 21/80, 20/72, 71/60 is
LCM of Numerators i.e. for 21,20,71 is 29820
GCF of denominators i.e. for 80,72,60 is 4.
Thus, LCM of Fractions is 7455.Finally, LCM of Fractions for 21/80, 20/72, 71/60 is 7455.