Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/51, 205/66, 739/593 quickly i.e. 7271760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/51, 205/66, 739/593 is 7271760.
LCM(48/51, 205/66, 739/593) = 7271760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/51,205/66,739/593
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 48,205,739
Least Common Multiple of Numerators i.e. LCM of 48,205,739 is 7271760.
GCF of Denominators means GCF of 51,66,593 as per the given fractions.
GCF of 51,66,593 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,205,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 7271760
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 48,205,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,205,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,205,739) x common factors =1 x 1 = 1
LCM(48,205,739) = ( 48 × 205 × 739 ) / 1
LCM(48,205,739) = 7271760 / 1
LCM(48,205,739) = 7271760
Lets's calculate GCF of 51,66,593
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7271760/1
Therefore the LCM of Fractions 48/51,205/66,739/593 is 7271760
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Greatest Common Factor
We found the factors 51,66,593 . The biggest common factor number is the GCF number.
So the greatest common factor 51,66,593 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 48/51, 205/66, 739/593?
Answer: LCM of Numerators as per given numbers 48/51, 205/66, 739/593 is
LCM of Numerators i.e. for 48,205,739 is 7271760
GCF of denominators i.e. for 51,66,593 is 1.
Thus, LCM of Fractions is 7271760.Finally, LCM of Fractions for 48/51, 205/66, 739/593 is 7271760.