Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/13, 81/15, 997/180 quickly i.e. 7106616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/13, 81/15, 997/180 is 7106616.
LCM(88/13, 81/15, 997/180) = 7106616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/13,81/15,997/180
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 88,81,997
Least Common Multiple of Numerators i.e. LCM of 88,81,997 is 7106616.
GCF of Denominators means GCF of 13,15,180 as per the given fractions.
GCF of 13,15,180 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,81,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 7106616
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 88,81,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,81,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,81,997) x common factors =1 x 1 = 1
LCM(88,81,997) = ( 88 × 81 × 997 ) / 1
LCM(88,81,997) = 7106616 / 1
LCM(88,81,997) = 7106616
Lets's calculate GCF of 13,15,180
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7106616/1
Therefore the LCM of Fractions 88/13,81/15,997/180 is 7106616
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 13,15,180 . The biggest common factor number is the GCF number.
So the greatest common factor 13,15,180 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 88/13, 81/15, 997/180?
Answer: LCM of Numerators as per given numbers 88/13, 81/15, 997/180 is
LCM of Numerators i.e. for 88,81,997 is 7106616
GCF of denominators i.e. for 13,15,180 is 1.
Thus, LCM of Fractions is 7106616.Finally, LCM of Fractions for 88/13, 81/15, 997/180 is 7106616.