Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/18, 331/81, 882/232 quickly i.e. 4963014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/18, 331/81, 882/232 is 4963014.
LCM(17/18, 331/81, 882/232) = 4963014
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/18,331/81,882/232
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 17,331,882
Least Common Multiple of Numerators i.e. LCM of 17,331,882 is 4963014.
GCF of Denominators means GCF of 18,81,232 as per the given fractions.
GCF of 18,81,232 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,331,882
Given numbers has no common factors except 1. So, there LCM is their product i.e 4963014
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 17,331,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,331,882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,331,882) x common factors =1 x 1 = 1
LCM(17,331,882) = ( 17 × 331 × 882 ) / 1
LCM(17,331,882) = 4963014 / 1
LCM(17,331,882) = 4963014
Lets's calculate GCF of 18,81,232
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4963014/1
Therefore the LCM of Fractions 17/18,331/81,882/232 is 4963014
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 18,81,232 . The biggest common factor number is the GCF number.
So the greatest common factor 18,81,232 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 17/18, 331/81, 882/232?
Answer: LCM of Numerators as per given numbers 17/18, 331/81, 882/232 is
LCM of Numerators i.e. for 17,331,882 is 4963014
GCF of denominators i.e. for 18,81,232 is 1.
Thus, LCM of Fractions is 4963014.Finally, LCM of Fractions for 17/18, 331/81, 882/232 is 4963014.