Know Least Common Multiple of fractions 5519/73, 7730/494 quickly i.e. 42661870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5519/73, 7730/494 is 42661870.
LCM(5519/73, 7730/494) = 42661870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5519/73,7730/494
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 5519,7730
Least Common Multiple of Numerators i.e. LCM of 5519,7730 is 42661870.
GCF of Denominators means GCF of 73,494 as per the given fractions.
GCF of 73,494 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5519,7730
Given numbers has no common factors except 1. So, there LCM is their product i.e 42661870
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 5519,7730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5519,7730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5519,7730) x common factors =1 x 1 = 1
LCM(5519,7730) = ( 5519 × 7730 ) / 1
LCM(5519,7730) = 42661870 / 1
LCM(5519,7730) = 42661870
Lets's calculate GCF of 73,494
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42661870/1
Therefore the LCM of Fractions 5519/73,7730/494 is 42661870
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
Greatest Common Factor
We found the factors 73,494 . The biggest common factor number is the GCF number.
So the greatest common factor 73,494 is 1.
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 5519/73, 7730/494?
Answer: LCM of Numerators as per given numbers 5519/73, 7730/494 is
LCM of Numerators i.e. for 5519,7730 is 42661870
GCF of denominators i.e. for 73,494 is 1.
Thus, LCM of Fractions is 42661870.Finally, LCM of Fractions for 5519/73, 7730/494 is 42661870.