Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 490/26, 191/9297 quickly i.e. 93590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 490/26, 191/9297 is 93590.
LCM(490/26, 191/9297) = 93590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 490/26,191/9297
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 490,191
Least Common Multiple of Numerators i.e. LCM of 490,191 is 93590.
GCF of Denominators means GCF of 26,9297 as per the given fractions.
GCF of 26,9297 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 490,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 93590
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 490,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(490,191) x common factors =1 x 1 = 1
LCM(490,191) = ( 490 × 191 ) / 1
LCM(490,191) = 93590 / 1
LCM(490,191) = 93590
Lets's calculate GCF of 26,9297
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93590/1
Therefore the LCM of Fractions 490/26,191/9297 is 93590
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 9297
List of positive integer factors of 9297 that divides 9297 without a remainder.
1,3,9,1033,3099,9297
Greatest Common Factor
We found the factors 26,9297 . The biggest common factor number is the GCF number.
So the greatest common factor 26,9297 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 490/26, 191/9297?
Answer: LCM of Numerators as per given numbers 490/26, 191/9297 is
LCM of Numerators i.e. for 490,191 is 93590
GCF of denominators i.e. for 26,9297 is 1.
Thus, LCM of Fractions is 93590.Finally, LCM of Fractions for 490/26, 191/9297 is 93590.