Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 624/252, 1873/5287 quickly i.e. 1168752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 624/252, 1873/5287 is 1168752.
LCM(624/252, 1873/5287) = 1168752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 624/252,1873/5287
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 624,1873
Least Common Multiple of Numerators i.e. LCM of 624,1873 is 1168752.
GCF of Denominators means GCF of 252,5287 as per the given fractions.
GCF of 252,5287 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 624,1873
Given numbers has no common factors except 1. So, there LCM is their product i.e 1168752
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 624,1873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,1873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,1873) x common factors =1 x 1 = 1
LCM(624,1873) = ( 624 × 1873 ) / 1
LCM(624,1873) = 1168752 / 1
LCM(624,1873) = 1168752
Lets's calculate GCF of 252,5287
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1168752/1
Therefore the LCM of Fractions 624/252,1873/5287 is 1168752
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 5287
List of positive integer factors of 5287 that divides 5287 without a remainder.
1,17,311,5287
Greatest Common Factor
We found the factors 252,5287 . The biggest common factor number is the GCF number.
So the greatest common factor 252,5287 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 624/252, 1873/5287?
Answer: LCM of Numerators as per given numbers 624/252, 1873/5287 is
LCM of Numerators i.e. for 624,1873 is 1168752
GCF of denominators i.e. for 252,5287 is 1.
Thus, LCM of Fractions is 1168752.Finally, LCM of Fractions for 624/252, 1873/5287 is 1168752.