Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/213, 5231/2050 quickly i.e. 470790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/213, 5231/2050 is 470790.
LCM(90/213, 5231/2050) = 470790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/213,5231/2050
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 90,5231
Least Common Multiple of Numerators i.e. LCM of 90,5231 is 470790.
GCF of Denominators means GCF of 213,2050 as per the given fractions.
GCF of 213,2050 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,5231
Given numbers has no common factors except 1. So, there LCM is their product i.e 470790
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 90,5231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,5231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,5231) x common factors =1 x 1 = 1
LCM(90,5231) = ( 90 × 5231 ) / 1
LCM(90,5231) = 470790 / 1
LCM(90,5231) = 470790
Lets's calculate GCF of 213,2050
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470790/1
Therefore the LCM of Fractions 90/213,5231/2050 is 470790
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 2050
List of positive integer factors of 2050 that divides 2050 without a remainder.
1,2,5,10,25,41,50,82,205,410,1025,2050
Greatest Common Factor
We found the factors 213,2050 . The biggest common factor number is the GCF number.
So the greatest common factor 213,2050 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 90/213, 5231/2050?
Answer: LCM of Numerators as per given numbers 90/213, 5231/2050 is
LCM of Numerators i.e. for 90,5231 is 470790
GCF of denominators i.e. for 213,2050 is 1.
Thus, LCM of Fractions is 470790.Finally, LCM of Fractions for 90/213, 5231/2050 is 470790.