Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1119/904, 3242/1109 quickly i.e. 3627798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1119/904, 3242/1109 is 3627798.
LCM(1119/904, 3242/1109) = 3627798
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1119/904,3242/1109
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 1119,3242
Least Common Multiple of Numerators i.e. LCM of 1119,3242 is 3627798.
GCF of Denominators means GCF of 904,1109 as per the given fractions.
GCF of 904,1109 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1119,3242
Given numbers has no common factors except 1. So, there LCM is their product i.e 3627798
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 1119,3242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1119,3242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1119,3242) x common factors =1 x 1 = 1
LCM(1119,3242) = ( 1119 × 3242 ) / 1
LCM(1119,3242) = 3627798 / 1
LCM(1119,3242) = 3627798
Lets's calculate GCF of 904,1109
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3627798/1
Therefore the LCM of Fractions 1119/904,3242/1109 is 3627798
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 1109
List of positive integer factors of 1109 that divides 1109 without a remainder.
1,1109
Greatest Common Factor
We found the factors 904,1109 . The biggest common factor number is the GCF number.
So the greatest common factor 904,1109 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 1119/904, 3242/1109?
Answer: LCM of Numerators as per given numbers 1119/904, 3242/1109 is
LCM of Numerators i.e. for 1119,3242 is 3627798
GCF of denominators i.e. for 904,1109 is 1.
Thus, LCM of Fractions is 3627798.Finally, LCM of Fractions for 1119/904, 3242/1109 is 3627798.