Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 483/60, 536/2027 quickly i.e. 258888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 483/60, 536/2027 is 258888.
LCM(483/60, 536/2027) = 258888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 483/60,536/2027
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 483,536
Least Common Multiple of Numerators i.e. LCM of 483,536 is 258888.
GCF of Denominators means GCF of 60,2027 as per the given fractions.
GCF of 60,2027 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 483,536
Given numbers has no common factors except 1. So, there LCM is their product i.e 258888
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 483,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(483,536) x common factors =1 x 1 = 1
LCM(483,536) = ( 483 × 536 ) / 1
LCM(483,536) = 258888 / 1
LCM(483,536) = 258888
Lets's calculate GCF of 60,2027
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258888/1
Therefore the LCM of Fractions 483/60,536/2027 is 258888
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 2027
List of positive integer factors of 2027 that divides 2027 without a remainder.
1,2027
Greatest Common Factor
We found the factors 60,2027 . The biggest common factor number is the GCF number.
So the greatest common factor 60,2027 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 483/60, 536/2027?
Answer: LCM of Numerators as per given numbers 483/60, 536/2027 is
LCM of Numerators i.e. for 483,536 is 258888
GCF of denominators i.e. for 60,2027 is 1.
Thus, LCM of Fractions is 258888.Finally, LCM of Fractions for 483/60, 536/2027 is 258888.