Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 484/15, 529/33, 747/848 quickly i.e. 191258892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 484/15, 529/33, 747/848 is 191258892.
LCM(484/15, 529/33, 747/848) = 191258892
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 484/15,529/33,747/848
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 484,529,747
Least Common Multiple of Numerators i.e. LCM of 484,529,747 is 191258892.
GCF of Denominators means GCF of 15,33,848 as per the given fractions.
GCF of 15,33,848 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 484,529,747
Given numbers has no common factors except 1. So, there LCM is their product i.e 191258892
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 484,529,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,529,747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,529,747) x common factors =1 x 1 = 1
LCM(484,529,747) = ( 484 × 529 × 747 ) / 1
LCM(484,529,747) = 191258892 / 1
LCM(484,529,747) = 191258892
Lets's calculate GCF of 15,33,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191258892/1
Therefore the LCM of Fractions 484/15,529/33,747/848 is 191258892
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 15,33,848 . The biggest common factor number is the GCF number.
So the greatest common factor 15,33,848 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 484/15, 529/33, 747/848?
Answer: LCM of Numerators as per given numbers 484/15, 529/33, 747/848 is
LCM of Numerators i.e. for 484,529,747 is 191258892
GCF of denominators i.e. for 15,33,848 is 1.
Thus, LCM of Fractions is 191258892.Finally, LCM of Fractions for 484/15, 529/33, 747/848 is 191258892.