Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5767/741, 4800/296 quickly i.e. 27681600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5767/741, 4800/296 is 27681600.
LCM(5767/741, 4800/296) = 27681600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5767/741,4800/296
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 5767,4800
Least Common Multiple of Numerators i.e. LCM of 5767,4800 is 27681600.
GCF of Denominators means GCF of 741,296 as per the given fractions.
GCF of 741,296 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5767,4800
Given numbers has no common factors except 1. So, there LCM is their product i.e 27681600
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 5767,4800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5767,4800) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5767,4800) x common factors =1 x 1 = 1
LCM(5767,4800) = ( 5767 × 4800 ) / 1
LCM(5767,4800) = 27681600 / 1
LCM(5767,4800) = 27681600
Lets's calculate GCF of 741,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27681600/1
Therefore the LCM of Fractions 5767/741,4800/296 is 27681600
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 741,296 . The biggest common factor number is the GCF number.
So the greatest common factor 741,296 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 5767/741, 4800/296?
Answer: LCM of Numerators as per given numbers 5767/741, 4800/296 is
LCM of Numerators i.e. for 5767,4800 is 27681600
GCF of denominators i.e. for 741,296 is 1.
Thus, LCM of Fractions is 27681600.Finally, LCM of Fractions for 5767/741, 4800/296 is 27681600.