Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 192/54, 733/8640 quickly i.e. 140736/54 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 192/54, 733/8640 is 140736/54.
LCM(192/54, 733/8640) = 140736/54
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 192/54,733/8640
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 192,733
Least Common Multiple of Numerators i.e. LCM of 192,733 is 140736.
GCF of Denominators means GCF of 54,8640 as per the given fractions.
GCF of 54,8640 is 54 as it is the largest common factor for these numbers.
Lets's calculate LCM of 192,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 140736
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 192,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,733) x common factors =1 x 1 = 1
LCM(192,733) = ( 192 × 733 ) / 1
LCM(192,733) = 140736 / 1
LCM(192,733) = 140736
Lets's calculate GCF of 54,8640
2 | 54, 8640 |
3 | 27, 4320 |
3 | 9, 1440 |
3 | 3, 480 |
1, 160 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140736/54
Therefore the LCM of Fractions 192/54,733/8640 is 140736/54
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 8640
List of positive integer factors of 8640 that divides 8640 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640
Greatest Common Factor
We found the factors 54,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 54,8640 is 54.
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 192/54, 733/8640?
Answer: LCM of Numerators as per given numbers 192/54, 733/8640 is
LCM of Numerators i.e. for 192,733 is 140736
GCF of denominators i.e. for 54,8640 is 54.
Thus, LCM of Fractions is 140736/54.Finally, LCM of Fractions for 192/54, 733/8640 is 140736/54.