Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/96, 17/31, 375/887 quickly i.e. 522750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/96, 17/31, 375/887 is 522750.
LCM(82/96, 17/31, 375/887) = 522750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/96,17/31,375/887
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 82,17,375
Least Common Multiple of Numerators i.e. LCM of 82,17,375 is 522750.
GCF of Denominators means GCF of 96,31,887 as per the given fractions.
GCF of 96,31,887 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,17,375
Given numbers has no common factors except 1. So, there LCM is their product i.e 522750
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 82,17,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,17,375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,17,375) x common factors =1 x 1 = 1
LCM(82,17,375) = ( 82 × 17 × 375 ) / 1
LCM(82,17,375) = 522750 / 1
LCM(82,17,375) = 522750
Lets's calculate GCF of 96,31,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522750/1
Therefore the LCM of Fractions 82/96,17/31,375/887 is 522750
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 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Greatest Common Factor
We found the factors 96,31,887 . The biggest common factor number is the GCF number.
So the greatest common factor 96,31,887 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 82/96, 17/31, 375/887?
Answer: LCM of Numerators as per given numbers 82/96, 17/31, 375/887 is
LCM of Numerators i.e. for 82,17,375 is 522750
GCF of denominators i.e. for 96,31,887 is 1.
Thus, LCM of Fractions is 522750.Finally, LCM of Fractions for 82/96, 17/31, 375/887 is 522750.