Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/136, 3497/2193 quickly i.e. 111904/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/136, 3497/2193 is 111904/17.
LCM(32/136, 3497/2193) = 111904/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/136,3497/2193
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 32,3497
Least Common Multiple of Numerators i.e. LCM of 32,3497 is 111904.
GCF of Denominators means GCF of 136,2193 as per the given fractions.
GCF of 136,2193 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,3497
Given numbers has no common factors except 1. So, there LCM is their product i.e 111904
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 32,3497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,3497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,3497) x common factors =1 x 1 = 1
LCM(32,3497) = ( 32 × 3497 ) / 1
LCM(32,3497) = 111904 / 1
LCM(32,3497) = 111904
Lets's calculate GCF of 136,2193
17 | 136, 2193 |
8, 129 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111904/17
Therefore the LCM of Fractions 32/136,3497/2193 is 111904/17
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 2193
List of positive integer factors of 2193 that divides 2193 without a remainder.
1,3,17,43,51,129,731,2193
Greatest Common Factor
We found the factors 136,2193 . The biggest common factor number is the GCF number.
So the greatest common factor 136,2193 is 17.
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 32/136, 3497/2193?
Answer: LCM of Numerators as per given numbers 32/136, 3497/2193 is
LCM of Numerators i.e. for 32,3497 is 111904
GCF of denominators i.e. for 136,2193 is 17.
Thus, LCM of Fractions is 111904/17.Finally, LCM of Fractions for 32/136, 3497/2193 is 111904/17.