Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 853/184, 4065/3813 quickly i.e. 3467445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 853/184, 4065/3813 is 3467445.
LCM(853/184, 4065/3813) = 3467445
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 853/184,4065/3813
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 853,4065
Least Common Multiple of Numerators i.e. LCM of 853,4065 is 3467445.
GCF of Denominators means GCF of 184,3813 as per the given fractions.
GCF of 184,3813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 853,4065
Given numbers has no common factors except 1. So, there LCM is their product i.e 3467445
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 853,4065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,4065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,4065) x common factors =1 x 1 = 1
LCM(853,4065) = ( 853 × 4065 ) / 1
LCM(853,4065) = 3467445 / 1
LCM(853,4065) = 3467445
Lets's calculate GCF of 184,3813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3467445/1
Therefore the LCM of Fractions 853/184,4065/3813 is 3467445
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 3813
List of positive integer factors of 3813 that divides 3813 without a remainder.
1,3,31,41,93,123,1271,3813
Greatest Common Factor
We found the factors 184,3813 . The biggest common factor number is the GCF number.
So the greatest common factor 184,3813 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 853/184, 4065/3813?
Answer: LCM of Numerators as per given numbers 853/184, 4065/3813 is
LCM of Numerators i.e. for 853,4065 is 3467445
GCF of denominators i.e. for 184,3813 is 1.
Thus, LCM of Fractions is 3467445.Finally, LCM of Fractions for 853/184, 4065/3813 is 3467445.