Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 904/67, 809/3011 quickly i.e. 731336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 904/67, 809/3011 is 731336.
LCM(904/67, 809/3011) = 731336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 904/67,809/3011
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 904,809
Least Common Multiple of Numerators i.e. LCM of 904,809 is 731336.
GCF of Denominators means GCF of 67,3011 as per the given fractions.
GCF of 67,3011 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 904,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 731336
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 904,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,809) x common factors =1 x 1 = 1
LCM(904,809) = ( 904 × 809 ) / 1
LCM(904,809) = 731336 / 1
LCM(904,809) = 731336
Lets's calculate GCF of 67,3011
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 731336/1
Therefore the LCM of Fractions 904/67,809/3011 is 731336
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 3011
List of positive integer factors of 3011 that divides 3011 without a remainder.
1,3011
Greatest Common Factor
We found the factors 67,3011 . The biggest common factor number is the GCF number.
So the greatest common factor 67,3011 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 904/67, 809/3011?
Answer: LCM of Numerators as per given numbers 904/67, 809/3011 is
LCM of Numerators i.e. for 904,809 is 731336
GCF of denominators i.e. for 67,3011 is 1.
Thus, LCM of Fractions is 731336.Finally, LCM of Fractions for 904/67, 809/3011 is 731336.