Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4493/542, 4506/5597 quickly i.e. 20245458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4493/542, 4506/5597 is 20245458.
LCM(4493/542, 4506/5597) = 20245458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4493/542,4506/5597
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 4493,4506
Least Common Multiple of Numerators i.e. LCM of 4493,4506 is 20245458.
GCF of Denominators means GCF of 542,5597 as per the given fractions.
GCF of 542,5597 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4493,4506
Given numbers has no common factors except 1. So, there LCM is their product i.e 20245458
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 4493,4506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4493,4506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4493,4506) x common factors =1 x 1 = 1
LCM(4493,4506) = ( 4493 × 4506 ) / 1
LCM(4493,4506) = 20245458 / 1
LCM(4493,4506) = 20245458
Lets's calculate GCF of 542,5597
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20245458/1
Therefore the LCM of Fractions 4493/542,4506/5597 is 20245458
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 5597
List of positive integer factors of 5597 that divides 5597 without a remainder.
1,29,193,5597
Greatest Common Factor
We found the factors 542,5597 . The biggest common factor number is the GCF number.
So the greatest common factor 542,5597 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 4493/542, 4506/5597?
Answer: LCM of Numerators as per given numbers 4493/542, 4506/5597 is
LCM of Numerators i.e. for 4493,4506 is 20245458
GCF of denominators i.e. for 542,5597 is 1.
Thus, LCM of Fractions is 20245458.Finally, LCM of Fractions for 4493/542, 4506/5597 is 20245458.