Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/491, 3291/4196 quickly i.e. 194169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/491, 3291/4196 is 194169.
LCM(59/491, 3291/4196) = 194169
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/491,3291/4196
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 59,3291
Least Common Multiple of Numerators i.e. LCM of 59,3291 is 194169.
GCF of Denominators means GCF of 491,4196 as per the given fractions.
GCF of 491,4196 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,3291
Given numbers has no common factors except 1. So, there LCM is their product i.e 194169
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 59,3291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,3291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,3291) x common factors =1 x 1 = 1
LCM(59,3291) = ( 59 × 3291 ) / 1
LCM(59,3291) = 194169 / 1
LCM(59,3291) = 194169
Lets's calculate GCF of 491,4196
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194169/1
Therefore the LCM of Fractions 59/491,3291/4196 is 194169
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 4196
List of positive integer factors of 4196 that divides 4196 without a remainder.
1,2,4,1049,2098,4196
Greatest Common Factor
We found the factors 491,4196 . The biggest common factor number is the GCF number.
So the greatest common factor 491,4196 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 59/491, 3291/4196?
Answer: LCM of Numerators as per given numbers 59/491, 3291/4196 is
LCM of Numerators i.e. for 59,3291 is 194169
GCF of denominators i.e. for 491,4196 is 1.
Thus, LCM of Fractions is 194169.Finally, LCM of Fractions for 59/491, 3291/4196 is 194169.