Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4031/255, 5263/5722 quickly i.e. 21215153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4031/255, 5263/5722 is 21215153.
LCM(4031/255, 5263/5722) = 21215153
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4031/255,5263/5722
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 4031,5263
Least Common Multiple of Numerators i.e. LCM of 4031,5263 is 21215153.
GCF of Denominators means GCF of 255,5722 as per the given fractions.
GCF of 255,5722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4031,5263
Given numbers has no common factors except 1. So, there LCM is their product i.e 21215153
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 4031,5263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4031,5263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4031,5263) x common factors =1 x 1 = 1
LCM(4031,5263) = ( 4031 × 5263 ) / 1
LCM(4031,5263) = 21215153 / 1
LCM(4031,5263) = 21215153
Lets's calculate GCF of 255,5722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21215153/1
Therefore the LCM of Fractions 4031/255,5263/5722 is 21215153
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 5722
List of positive integer factors of 5722 that divides 5722 without a remainder.
1,2,2861,5722
Greatest Common Factor
We found the factors 255,5722 . The biggest common factor number is the GCF number.
So the greatest common factor 255,5722 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 4031/255, 5263/5722?
Answer: LCM of Numerators as per given numbers 4031/255, 5263/5722 is
LCM of Numerators i.e. for 4031,5263 is 21215153
GCF of denominators i.e. for 255,5722 is 1.
Thus, LCM of Fractions is 21215153.Finally, LCM of Fractions for 4031/255, 5263/5722 is 21215153.