Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/99, 14/407, 349/729 quickly i.e. 278502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/99, 14/407, 349/729 is 278502.
LCM(57/99, 14/407, 349/729) = 278502
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/99,14/407,349/729
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 57,14,349
Least Common Multiple of Numerators i.e. LCM of 57,14,349 is 278502.
GCF of Denominators means GCF of 99,407,729 as per the given fractions.
GCF of 99,407,729 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,14,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 278502
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 57,14,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,14,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,14,349) x common factors =1 x 1 = 1
LCM(57,14,349) = ( 57 × 14 × 349 ) / 1
LCM(57,14,349) = 278502 / 1
LCM(57,14,349) = 278502
Lets's calculate GCF of 99,407,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278502/1
Therefore the LCM of Fractions 57/99,14/407,349/729 is 278502
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 99,407,729 . The biggest common factor number is the GCF number.
So the greatest common factor 99,407,729 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 57/99, 14/407, 349/729?
Answer: LCM of Numerators as per given numbers 57/99, 14/407, 349/729 is
LCM of Numerators i.e. for 57,14,349 is 278502
GCF of denominators i.e. for 99,407,729 is 1.
Thus, LCM of Fractions is 278502.Finally, LCM of Fractions for 57/99, 14/407, 349/729 is 278502.