Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9276/250, 9191/124 quickly i.e. 42627858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9276/250, 9191/124 is 42627858.
LCM(9276/250, 9191/124) = 42627858
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9276/250,9191/124
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 9276,9191
Least Common Multiple of Numerators i.e. LCM of 9276,9191 is 85255716.
GCF of Denominators means GCF of 250,124 as per the given fractions.
GCF of 250,124 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9276,9191
Given numbers has no common factors except 1. So, there LCM is their product i.e 85255716
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 9276,9191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9276,9191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9276,9191) x common factors =1 x 1 = 1
LCM(9276,9191) = ( 9276 × 9191 ) / 1
LCM(9276,9191) = 85255716 / 1
LCM(9276,9191) = 85255716
Lets's calculate GCF of 250,124
2 | 250, 124 |
125, 62 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85255716/2
Therefore the LCM of Fractions 9276/250,9191/124 is 42627858
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 250,124 . The biggest common factor number is the GCF number.
So the greatest common factor 250,124 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 9276/250, 9191/124?
Answer: LCM of Numerators as per given numbers 9276/250, 9191/124 is
LCM of Numerators i.e. for 9276,9191 is 85255716
GCF of denominators i.e. for 250,124 is 2.
Thus, LCM of Fractions is 42627858.Finally, LCM of Fractions for 9276/250, 9191/124 is 42627858.