Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 212/724, 1889/5750 quickly i.e. 200234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 212/724, 1889/5750 is 200234.
LCM(212/724, 1889/5750) = 200234
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 212/724,1889/5750
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 212,1889
Least Common Multiple of Numerators i.e. LCM of 212,1889 is 400468.
GCF of Denominators means GCF of 724,5750 as per the given fractions.
GCF of 724,5750 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 212,1889
Given numbers has no common factors except 1. So, there LCM is their product i.e 400468
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 212,1889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,1889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,1889) x common factors =1 x 1 = 1
LCM(212,1889) = ( 212 × 1889 ) / 1
LCM(212,1889) = 400468 / 1
LCM(212,1889) = 400468
Lets's calculate GCF of 724,5750
2 | 724, 5750 |
362, 2875 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400468/2
Therefore the LCM of Fractions 212/724,1889/5750 is 200234
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 5750
List of positive integer factors of 5750 that divides 5750 without a remainder.
1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750
Greatest Common Factor
We found the factors 724,5750 . The biggest common factor number is the GCF number.
So the greatest common factor 724,5750 is 2.
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 212/724, 1889/5750?
Answer: LCM of Numerators as per given numbers 212/724, 1889/5750 is
LCM of Numerators i.e. for 212,1889 is 400468
GCF of denominators i.e. for 724,5750 is 2.
Thus, LCM of Fractions is 200234.Finally, LCM of Fractions for 212/724, 1889/5750 is 200234.