Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 136/706, 7191/652 quickly i.e. 28764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 136/706, 7191/652 is 28764.
LCM(136/706, 7191/652) = 28764
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 136/706,7191/652
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 136,7191
Least Common Multiple of Numerators i.e. LCM of 136,7191 is 57528.
GCF of Denominators means GCF of 706,652 as per the given fractions.
GCF of 706,652 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 136,7191
17 | 136, 7191 |
8, 423 |
∴ So the LCM of the given numbers is 17 x 8 x 423 = 57528
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 136,7191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,7191) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(136,7191) x common factors =17 x 1 = 17
LCM(136,7191) = ( 136 × 7191 ) / 17
LCM(136,7191) = 977976 / 17
LCM(136,7191) = 57528
Lets's calculate GCF of 706,652
2 | 706, 652 |
353, 326 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57528/2
Therefore the LCM of Fractions 136/706,7191/652 is 28764
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 706,652 . The biggest common factor number is the GCF number.
So the greatest common factor 706,652 is 2.
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 136/706, 7191/652?
Answer: LCM of Numerators as per given numbers 136/706, 7191/652 is
LCM of Numerators i.e. for 136,7191 is 57528
GCF of denominators i.e. for 706,652 is 2.
Thus, LCM of Fractions is 28764.Finally, LCM of Fractions for 136/706, 7191/652 is 28764.