Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 232/663, 8933/792 quickly i.e. 2072456/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 232/663, 8933/792 is 2072456/3.
LCM(232/663, 8933/792) = 2072456/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 232/663,8933/792
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 232,8933
Least Common Multiple of Numerators i.e. LCM of 232,8933 is 2072456.
GCF of Denominators means GCF of 663,792 as per the given fractions.
GCF of 663,792 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 232,8933
Given numbers has no common factors except 1. So, there LCM is their product i.e 2072456
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 232,8933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,8933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,8933) x common factors =1 x 1 = 1
LCM(232,8933) = ( 232 × 8933 ) / 1
LCM(232,8933) = 2072456 / 1
LCM(232,8933) = 2072456
Lets's calculate GCF of 663,792
3 | 663, 792 |
221, 264 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2072456/3
Therefore the LCM of Fractions 232/663,8933/792 is 2072456/3
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 663,792 . The biggest common factor number is the GCF number.
So the greatest common factor 663,792 is 3.
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 232/663, 8933/792?
Answer: LCM of Numerators as per given numbers 232/663, 8933/792 is
LCM of Numerators i.e. for 232,8933 is 2072456
GCF of denominators i.e. for 663,792 is 3.
Thus, LCM of Fractions is 2072456/3.Finally, LCM of Fractions for 232/663, 8933/792 is 2072456/3.