Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/535, 5211/2509 quickly i.e. 260550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/535, 5211/2509 is 260550.
LCM(50/535, 5211/2509) = 260550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/535,5211/2509
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 50,5211
Least Common Multiple of Numerators i.e. LCM of 50,5211 is 260550.
GCF of Denominators means GCF of 535,2509 as per the given fractions.
GCF of 535,2509 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,5211
Given numbers has no common factors except 1. So, there LCM is their product i.e 260550
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 50,5211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,5211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,5211) x common factors =1 x 1 = 1
LCM(50,5211) = ( 50 × 5211 ) / 1
LCM(50,5211) = 260550 / 1
LCM(50,5211) = 260550
Lets's calculate GCF of 535,2509
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260550/1
Therefore the LCM of Fractions 50/535,5211/2509 is 260550
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 2509
List of positive integer factors of 2509 that divides 2509 without a remainder.
1,13,193,2509
Greatest Common Factor
We found the factors 535,2509 . The biggest common factor number is the GCF number.
So the greatest common factor 535,2509 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 50/535, 5211/2509?
Answer: LCM of Numerators as per given numbers 50/535, 5211/2509 is
LCM of Numerators i.e. for 50,5211 is 260550
GCF of denominators i.e. for 535,2509 is 1.
Thus, LCM of Fractions is 260550.Finally, LCM of Fractions for 50/535, 5211/2509 is 260550.