Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/493, 9360/5596 quickly i.e. 739440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/493, 9360/5596 is 739440.
LCM(79/493, 9360/5596) = 739440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/493,9360/5596
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 79,9360
Least Common Multiple of Numerators i.e. LCM of 79,9360 is 739440.
GCF of Denominators means GCF of 493,5596 as per the given fractions.
GCF of 493,5596 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,9360
Given numbers has no common factors except 1. So, there LCM is their product i.e 739440
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 79,9360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,9360) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,9360) x common factors =1 x 1 = 1
LCM(79,9360) = ( 79 × 9360 ) / 1
LCM(79,9360) = 739440 / 1
LCM(79,9360) = 739440
Lets's calculate GCF of 493,5596
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739440/1
Therefore the LCM of Fractions 79/493,9360/5596 is 739440
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 5596
List of positive integer factors of 5596 that divides 5596 without a remainder.
1,2,4,1399,2798,5596
Greatest Common Factor
We found the factors 493,5596 . The biggest common factor number is the GCF number.
So the greatest common factor 493,5596 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 79/493, 9360/5596?
Answer: LCM of Numerators as per given numbers 79/493, 9360/5596 is
LCM of Numerators i.e. for 79,9360 is 739440
GCF of denominators i.e. for 493,5596 is 1.
Thus, LCM of Fractions is 739440.Finally, LCM of Fractions for 79/493, 9360/5596 is 739440.