Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/498, 96/309, 481/179 quickly i.e. 3647904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/498, 96/309, 481/179 is 3647904.
LCM(79/498, 96/309, 481/179) = 3647904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/498,96/309,481/179
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 79,96,481
Least Common Multiple of Numerators i.e. LCM of 79,96,481 is 3647904.
GCF of Denominators means GCF of 498,309,179 as per the given fractions.
GCF of 498,309,179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,96,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 3647904
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 79,96,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,96,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,96,481) x common factors =1 x 1 = 1
LCM(79,96,481) = ( 79 × 96 × 481 ) / 1
LCM(79,96,481) = 3647904 / 1
LCM(79,96,481) = 3647904
Lets's calculate GCF of 498,309,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3647904/1
Therefore the LCM of Fractions 79/498,96/309,481/179 is 3647904
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 498,309,179 . The biggest common factor number is the GCF number.
So the greatest common factor 498,309,179 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 79/498, 96/309, 481/179?
Answer: LCM of Numerators as per given numbers 79/498, 96/309, 481/179 is
LCM of Numerators i.e. for 79,96,481 is 3647904
GCF of denominators i.e. for 498,309,179 is 1.
Thus, LCM of Fractions is 3647904.Finally, LCM of Fractions for 79/498, 96/309, 481/179 is 3647904.