Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9154/996, 7215/2419 quickly i.e. 66046110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9154/996, 7215/2419 is 66046110.
LCM(9154/996, 7215/2419) = 66046110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9154/996,7215/2419
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 9154,7215
Least Common Multiple of Numerators i.e. LCM of 9154,7215 is 66046110.
GCF of Denominators means GCF of 996,2419 as per the given fractions.
GCF of 996,2419 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9154,7215
Given numbers has no common factors except 1. So, there LCM is their product i.e 66046110
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 9154,7215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9154,7215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9154,7215) x common factors =1 x 1 = 1
LCM(9154,7215) = ( 9154 × 7215 ) / 1
LCM(9154,7215) = 66046110 / 1
LCM(9154,7215) = 66046110
Lets's calculate GCF of 996,2419
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66046110/1
Therefore the LCM of Fractions 9154/996,7215/2419 is 66046110
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 2419
List of positive integer factors of 2419 that divides 2419 without a remainder.
1,41,59,2419
Greatest Common Factor
We found the factors 996,2419 . The biggest common factor number is the GCF number.
So the greatest common factor 996,2419 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 9154/996, 7215/2419?
Answer: LCM of Numerators as per given numbers 9154/996, 7215/2419 is
LCM of Numerators i.e. for 9154,7215 is 66046110
GCF of denominators i.e. for 996,2419 is 1.
Thus, LCM of Fractions is 66046110.Finally, LCM of Fractions for 9154/996, 7215/2419 is 66046110.