Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2239/419, 9925/904 quickly i.e. 22222075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2239/419, 9925/904 is 22222075.
LCM(2239/419, 9925/904) = 22222075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2239/419,9925/904
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 2239,9925
Least Common Multiple of Numerators i.e. LCM of 2239,9925 is 22222075.
GCF of Denominators means GCF of 419,904 as per the given fractions.
GCF of 419,904 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2239,9925
Given numbers has no common factors except 1. So, there LCM is their product i.e 22222075
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 2239,9925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2239,9925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2239,9925) x common factors =1 x 1 = 1
LCM(2239,9925) = ( 2239 × 9925 ) / 1
LCM(2239,9925) = 22222075 / 1
LCM(2239,9925) = 22222075
Lets's calculate GCF of 419,904
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22222075/1
Therefore the LCM of Fractions 2239/419,9925/904 is 22222075
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Greatest Common Factor
We found the factors 419,904 . The biggest common factor number is the GCF number.
So the greatest common factor 419,904 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 2239/419, 9925/904?
Answer: LCM of Numerators as per given numbers 2239/419, 9925/904 is
LCM of Numerators i.e. for 2239,9925 is 22222075
GCF of denominators i.e. for 419,904 is 1.
Thus, LCM of Fractions is 22222075.Finally, LCM of Fractions for 2239/419, 9925/904 is 22222075.