Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 171/76, 131/33, 192/313 quickly i.e. 1433664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 171/76, 131/33, 192/313 is 1433664.
LCM(171/76, 131/33, 192/313) = 1433664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 171/76,131/33,192/313
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 171,131,192
Least Common Multiple of Numerators i.e. LCM of 171,131,192 is 1433664.
GCF of Denominators means GCF of 76,33,313 as per the given fractions.
GCF of 76,33,313 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 171,131,192
3 | 171, 131, 192 |
57, 131, 64 |
∴ So the LCM of the given numbers is 3 x 57 x 131 x 64 = 1433664
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 171,131,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,131,192) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(171,131,192) x common factors =1 x 3 = 3
LCM(171,131,192) = ( 171 × 131 × 192 ) / 3
LCM(171,131,192) = 4300992 / 3
LCM(171,131,192) = 1433664
Lets's calculate GCF of 76,33,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1433664/1
Therefore the LCM of Fractions 171/76,131/33,192/313 is 1433664
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 76,33,313 . The biggest common factor number is the GCF number.
So the greatest common factor 76,33,313 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 171/76, 131/33, 192/313?
Answer: LCM of Numerators as per given numbers 171/76, 131/33, 192/313 is
LCM of Numerators i.e. for 171,131,192 is 1433664
GCF of denominators i.e. for 76,33,313 is 1.
Thus, LCM of Fractions is 1433664.Finally, LCM of Fractions for 171/76, 131/33, 192/313 is 1433664.