Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/96, 17/76, 570/72 quickly i.e. 4845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/96, 17/76, 570/72 is 4845.
LCM(20/96, 17/76, 570/72) = 4845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/96,17/76,570/72
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 20,17,570
Least Common Multiple of Numerators i.e. LCM of 20,17,570 is 19380.
GCF of Denominators means GCF of 96,76,72 as per the given fractions.
GCF of 96,76,72 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,17,570
2 | 20, 17, 570 |
5 | 10, 17, 285 |
2, 17, 57 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 17 x 57 = 19380
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 20,17,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,17,570) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(20,17,570) x common factors =1 x 10 = 10
LCM(20,17,570) = ( 20 × 17 × 570 ) / 10
LCM(20,17,570) = 193800 / 10
LCM(20,17,570) = 19380
Lets's calculate GCF of 96,76,72
2 | 96, 76, 72 |
2 | 48, 38, 36 |
24, 19, 18 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19380/4
Therefore the LCM of Fractions 20/96,17/76,570/72 is 4845
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
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
Greatest Common Factor
We found the factors 96,76,72 . The biggest common factor number is the GCF number.
So the greatest common factor 96,76,72 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 20/96, 17/76, 570/72?
Answer: LCM of Numerators as per given numbers 20/96, 17/76, 570/72 is
LCM of Numerators i.e. for 20,17,570 is 19380
GCF of denominators i.e. for 96,76,72 is 4.
Thus, LCM of Fractions is 4845.Finally, LCM of Fractions for 20/96, 17/76, 570/72 is 4845.