Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3549/601, 5020/5245 quickly i.e. 17815980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3549/601, 5020/5245 is 17815980.
LCM(3549/601, 5020/5245) = 17815980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3549/601,5020/5245
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 3549,5020
Least Common Multiple of Numerators i.e. LCM of 3549,5020 is 17815980.
GCF of Denominators means GCF of 601,5245 as per the given fractions.
GCF of 601,5245 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3549,5020
Given numbers has no common factors except 1. So, there LCM is their product i.e 17815980
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 3549,5020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3549,5020) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3549,5020) x common factors =1 x 1 = 1
LCM(3549,5020) = ( 3549 × 5020 ) / 1
LCM(3549,5020) = 17815980 / 1
LCM(3549,5020) = 17815980
Lets's calculate GCF of 601,5245
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17815980/1
Therefore the LCM of Fractions 3549/601,5020/5245 is 17815980
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 5245
List of positive integer factors of 5245 that divides 5245 without a remainder.
1,5,1049,5245
Greatest Common Factor
We found the factors 601,5245 . The biggest common factor number is the GCF number.
So the greatest common factor 601,5245 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 3549/601, 5020/5245?
Answer: LCM of Numerators as per given numbers 3549/601, 5020/5245 is
LCM of Numerators i.e. for 3549,5020 is 17815980
GCF of denominators i.e. for 601,5245 is 1.
Thus, LCM of Fractions is 17815980.Finally, LCM of Fractions for 3549/601, 5020/5245 is 17815980.