Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 751/466, 198/533, 163/723 quickly i.e. 24237774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 751/466, 198/533, 163/723 is 24237774.
LCM(751/466, 198/533, 163/723) = 24237774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 751/466,198/533,163/723
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 751,198,163
Least Common Multiple of Numerators i.e. LCM of 751,198,163 is 24237774.
GCF of Denominators means GCF of 466,533,723 as per the given fractions.
GCF of 466,533,723 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 751,198,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 24237774
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 751,198,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,198,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,198,163) x common factors =1 x 1 = 1
LCM(751,198,163) = ( 751 × 198 × 163 ) / 1
LCM(751,198,163) = 24237774 / 1
LCM(751,198,163) = 24237774
Lets's calculate GCF of 466,533,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24237774/1
Therefore the LCM of Fractions 751/466,198/533,163/723 is 24237774
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 466,533,723 . The biggest common factor number is the GCF number.
So the greatest common factor 466,533,723 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 751/466, 198/533, 163/723?
Answer: LCM of Numerators as per given numbers 751/466, 198/533, 163/723 is
LCM of Numerators i.e. for 751,198,163 is 24237774
GCF of denominators i.e. for 466,533,723 is 1.
Thus, LCM of Fractions is 24237774.Finally, LCM of Fractions for 751/466, 198/533, 163/723 is 24237774.