Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 809/45, 146/2183 quickly i.e. 118114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 809/45, 146/2183 is 118114.
LCM(809/45, 146/2183) = 118114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 809/45,146/2183
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 809,146
Least Common Multiple of Numerators i.e. LCM of 809,146 is 118114.
GCF of Denominators means GCF of 45,2183 as per the given fractions.
GCF of 45,2183 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 809,146
Given numbers has no common factors except 1. So, there LCM is their product i.e 118114
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 809,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,146) x common factors =1 x 1 = 1
LCM(809,146) = ( 809 × 146 ) / 1
LCM(809,146) = 118114 / 1
LCM(809,146) = 118114
Lets's calculate GCF of 45,2183
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118114/1
Therefore the LCM of Fractions 809/45,146/2183 is 118114
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 2183
List of positive integer factors of 2183 that divides 2183 without a remainder.
1,37,59,2183
Greatest Common Factor
We found the factors 45,2183 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2183 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 809/45, 146/2183?
Answer: LCM of Numerators as per given numbers 809/45, 146/2183 is
LCM of Numerators i.e. for 809,146 is 118114
GCF of denominators i.e. for 45,2183 is 1.
Thus, LCM of Fractions is 118114.Finally, LCM of Fractions for 809/45, 146/2183 is 118114.