Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5713/750, 7773/6233 quickly i.e. 44407149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5713/750, 7773/6233 is 44407149.
LCM(5713/750, 7773/6233) = 44407149
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5713/750,7773/6233
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 5713,7773
Least Common Multiple of Numerators i.e. LCM of 5713,7773 is 44407149.
GCF of Denominators means GCF of 750,6233 as per the given fractions.
GCF of 750,6233 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5713,7773
Given numbers has no common factors except 1. So, there LCM is their product i.e 44407149
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 5713,7773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5713,7773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5713,7773) x common factors =1 x 1 = 1
LCM(5713,7773) = ( 5713 × 7773 ) / 1
LCM(5713,7773) = 44407149 / 1
LCM(5713,7773) = 44407149
Lets's calculate GCF of 750,6233
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44407149/1
Therefore the LCM of Fractions 5713/750,7773/6233 is 44407149
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 6233
List of positive integer factors of 6233 that divides 6233 without a remainder.
1,23,271,6233
Greatest Common Factor
We found the factors 750,6233 . The biggest common factor number is the GCF number.
So the greatest common factor 750,6233 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 5713/750, 7773/6233?
Answer: LCM of Numerators as per given numbers 5713/750, 7773/6233 is
LCM of Numerators i.e. for 5713,7773 is 44407149
GCF of denominators i.e. for 750,6233 is 1.
Thus, LCM of Fractions is 44407149.Finally, LCM of Fractions for 5713/750, 7773/6233 is 44407149.