Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 723/44, 268/5837 quickly i.e. 193764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 723/44, 268/5837 is 193764.
LCM(723/44, 268/5837) = 193764
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 723/44,268/5837
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 723,268
Least Common Multiple of Numerators i.e. LCM of 723,268 is 193764.
GCF of Denominators means GCF of 44,5837 as per the given fractions.
GCF of 44,5837 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 723,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 193764
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 723,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,268) x common factors =1 x 1 = 1
LCM(723,268) = ( 723 × 268 ) / 1
LCM(723,268) = 193764 / 1
LCM(723,268) = 193764
Lets's calculate GCF of 44,5837
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193764/1
Therefore the LCM of Fractions 723/44,268/5837 is 193764
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 5837
List of positive integer factors of 5837 that divides 5837 without a remainder.
1,13,449,5837
Greatest Common Factor
We found the factors 44,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 44,5837 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 723/44, 268/5837?
Answer: LCM of Numerators as per given numbers 723/44, 268/5837 is
LCM of Numerators i.e. for 723,268 is 193764
GCF of denominators i.e. for 44,5837 is 1.
Thus, LCM of Fractions is 193764.Finally, LCM of Fractions for 723/44, 268/5837 is 193764.