Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4883/182, 3723/4027 quickly i.e. 18179409 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4883/182, 3723/4027 is 18179409.
LCM(4883/182, 3723/4027) = 18179409
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4883/182,3723/4027
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 4883,3723
Least Common Multiple of Numerators i.e. LCM of 4883,3723 is 18179409.
GCF of Denominators means GCF of 182,4027 as per the given fractions.
GCF of 182,4027 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4883,3723
Given numbers has no common factors except 1. So, there LCM is their product i.e 18179409
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 4883,3723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4883,3723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4883,3723) x common factors =1 x 1 = 1
LCM(4883,3723) = ( 4883 × 3723 ) / 1
LCM(4883,3723) = 18179409 / 1
LCM(4883,3723) = 18179409
Lets's calculate GCF of 182,4027
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18179409/1
Therefore the LCM of Fractions 4883/182,3723/4027 is 18179409
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 4027
List of positive integer factors of 4027 that divides 4027 without a remainder.
1,4027
Greatest Common Factor
We found the factors 182,4027 . The biggest common factor number is the GCF number.
So the greatest common factor 182,4027 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 4883/182, 3723/4027?
Answer: LCM of Numerators as per given numbers 4883/182, 3723/4027 is
LCM of Numerators i.e. for 4883,3723 is 18179409
GCF of denominators i.e. for 182,4027 is 1.
Thus, LCM of Fractions is 18179409.Finally, LCM of Fractions for 4883/182, 3723/4027 is 18179409.