Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 637/43, 904/35, 197/198 quickly i.e. 113442056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 637/43, 904/35, 197/198 is 113442056.
LCM(637/43, 904/35, 197/198) = 113442056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 637/43,904/35,197/198
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 637,904,197
Least Common Multiple of Numerators i.e. LCM of 637,904,197 is 113442056.
GCF of Denominators means GCF of 43,35,198 as per the given fractions.
GCF of 43,35,198 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 637,904,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 113442056
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 637,904,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,904,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,904,197) x common factors =1 x 1 = 1
LCM(637,904,197) = ( 637 × 904 × 197 ) / 1
LCM(637,904,197) = 113442056 / 1
LCM(637,904,197) = 113442056
Lets's calculate GCF of 43,35,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113442056/1
Therefore the LCM of Fractions 637/43,904/35,197/198 is 113442056
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 43,35,198 . The biggest common factor number is the GCF number.
So the greatest common factor 43,35,198 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 637/43, 904/35, 197/198?
Answer: LCM of Numerators as per given numbers 637/43, 904/35, 197/198 is
LCM of Numerators i.e. for 637,904,197 is 113442056
GCF of denominators i.e. for 43,35,198 is 1.
Thus, LCM of Fractions is 113442056.Finally, LCM of Fractions for 637/43, 904/35, 197/198 is 113442056.