Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4868/539, 9363/1603 quickly i.e. 45579084/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4868/539, 9363/1603 is 45579084/7.
LCM(4868/539, 9363/1603) = 45579084/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4868/539,9363/1603
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 4868,9363
Least Common Multiple of Numerators i.e. LCM of 4868,9363 is 45579084.
GCF of Denominators means GCF of 539,1603 as per the given fractions.
GCF of 539,1603 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4868,9363
Given numbers has no common factors except 1. So, there LCM is their product i.e 45579084
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 4868,9363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4868,9363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4868,9363) x common factors =1 x 1 = 1
LCM(4868,9363) = ( 4868 × 9363 ) / 1
LCM(4868,9363) = 45579084 / 1
LCM(4868,9363) = 45579084
Lets's calculate GCF of 539,1603
7 | 539, 1603 |
77, 229 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45579084/7
Therefore the LCM of Fractions 4868/539,9363/1603 is 45579084/7
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 1603
List of positive integer factors of 1603 that divides 1603 without a remainder.
1,7,229,1603
Greatest Common Factor
We found the factors 539,1603 . The biggest common factor number is the GCF number.
So the greatest common factor 539,1603 is 7.
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 4868/539, 9363/1603?
Answer: LCM of Numerators as per given numbers 4868/539, 9363/1603 is
LCM of Numerators i.e. for 4868,9363 is 45579084
GCF of denominators i.e. for 539,1603 is 7.
Thus, LCM of Fractions is 45579084/7.Finally, LCM of Fractions for 4868/539, 9363/1603 is 45579084/7.