Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/758, 74/816, 197/131 quickly i.e. 1180818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/758, 74/816, 197/131 is 1180818.
LCM(81/758, 74/816, 197/131) = 1180818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/758,74/816,197/131
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 81,74,197
Least Common Multiple of Numerators i.e. LCM of 81,74,197 is 1180818.
GCF of Denominators means GCF of 758,816,131 as per the given fractions.
GCF of 758,816,131 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,74,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 1180818
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 81,74,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,74,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,74,197) x common factors =1 x 1 = 1
LCM(81,74,197) = ( 81 × 74 × 197 ) / 1
LCM(81,74,197) = 1180818 / 1
LCM(81,74,197) = 1180818
Lets's calculate GCF of 758,816,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1180818/1
Therefore the LCM of Fractions 81/758,74/816,197/131 is 1180818
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Greatest Common Factor
We found the factors 758,816,131 . The biggest common factor number is the GCF number.
So the greatest common factor 758,816,131 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 81/758, 74/816, 197/131?
Answer: LCM of Numerators as per given numbers 81/758, 74/816, 197/131 is
LCM of Numerators i.e. for 81,74,197 is 1180818
GCF of denominators i.e. for 758,816,131 is 1.
Thus, LCM of Fractions is 1180818.Finally, LCM of Fractions for 81/758, 74/816, 197/131 is 1180818.