Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/333, 9829/7114 quickly i.e. 530766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/333, 9829/7114 is 530766.
LCM(54/333, 9829/7114) = 530766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/333,9829/7114
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 54,9829
Least Common Multiple of Numerators i.e. LCM of 54,9829 is 530766.
GCF of Denominators means GCF of 333,7114 as per the given fractions.
GCF of 333,7114 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,9829
Given numbers has no common factors except 1. So, there LCM is their product i.e 530766
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 54,9829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,9829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,9829) x common factors =1 x 1 = 1
LCM(54,9829) = ( 54 × 9829 ) / 1
LCM(54,9829) = 530766 / 1
LCM(54,9829) = 530766
Lets's calculate GCF of 333,7114
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 530766/1
Therefore the LCM of Fractions 54/333,9829/7114 is 530766
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 7114
List of positive integer factors of 7114 that divides 7114 without a remainder.
1,2,3557,7114
Greatest Common Factor
We found the factors 333,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 333,7114 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 54/333, 9829/7114?
Answer: LCM of Numerators as per given numbers 54/333, 9829/7114 is
LCM of Numerators i.e. for 54,9829 is 530766
GCF of denominators i.e. for 333,7114 is 1.
Thus, LCM of Fractions is 530766.Finally, LCM of Fractions for 54/333, 9829/7114 is 530766.