Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 201/626, 493/845, 112/164 quickly i.e. 11098416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 201/626, 493/845, 112/164 is 11098416.
LCM(201/626, 493/845, 112/164) = 11098416
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 201/626,493/845,112/164
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 201,493,112
Least Common Multiple of Numerators i.e. LCM of 201,493,112 is 11098416.
GCF of Denominators means GCF of 626,845,164 as per the given fractions.
GCF of 626,845,164 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 201,493,112
Given numbers has no common factors except 1. So, there LCM is their product i.e 11098416
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 201,493,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,493,112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,493,112) x common factors =1 x 1 = 1
LCM(201,493,112) = ( 201 × 493 × 112 ) / 1
LCM(201,493,112) = 11098416 / 1
LCM(201,493,112) = 11098416
Lets's calculate GCF of 626,845,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11098416/1
Therefore the LCM of Fractions 201/626,493/845,112/164 is 11098416
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 626,845,164 . The biggest common factor number is the GCF number.
So the greatest common factor 626,845,164 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 201/626, 493/845, 112/164?
Answer: LCM of Numerators as per given numbers 201/626, 493/845, 112/164 is
LCM of Numerators i.e. for 201,493,112 is 11098416
GCF of denominators i.e. for 626,845,164 is 1.
Thus, LCM of Fractions is 11098416.Finally, LCM of Fractions for 201/626, 493/845, 112/164 is 11098416.