Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 175/13, 491/38, 136/796 quickly i.e. 11685800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 175/13, 491/38, 136/796 is 11685800.
LCM(175/13, 491/38, 136/796) = 11685800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 175/13,491/38,136/796
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 175,491,136
Least Common Multiple of Numerators i.e. LCM of 175,491,136 is 11685800.
GCF of Denominators means GCF of 13,38,796 as per the given fractions.
GCF of 13,38,796 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 175,491,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 11685800
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 175,491,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,491,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,491,136) x common factors =1 x 1 = 1
LCM(175,491,136) = ( 175 × 491 × 136 ) / 1
LCM(175,491,136) = 11685800 / 1
LCM(175,491,136) = 11685800
Lets's calculate GCF of 13,38,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11685800/1
Therefore the LCM of Fractions 175/13,491/38,136/796 is 11685800
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 13,38,796 . The biggest common factor number is the GCF number.
So the greatest common factor 13,38,796 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 175/13, 491/38, 136/796?
Answer: LCM of Numerators as per given numbers 175/13, 491/38, 136/796 is
LCM of Numerators i.e. for 175,491,136 is 11685800
GCF of denominators i.e. for 13,38,796 is 1.
Thus, LCM of Fractions is 11685800.Finally, LCM of Fractions for 175/13, 491/38, 136/796 is 11685800.