Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 288/903, 7948/7305 quickly i.e. 190752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 288/903, 7948/7305 is 190752.
LCM(288/903, 7948/7305) = 190752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 288/903,7948/7305
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 288,7948
Least Common Multiple of Numerators i.e. LCM of 288,7948 is 572256.
GCF of Denominators means GCF of 903,7305 as per the given fractions.
GCF of 903,7305 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 288,7948
2 | 288, 7948 |
2 | 144, 3974 |
72, 1987 |
∴ So the LCM of the given numbers is 2 x 2 x 72 x 1987 = 572256
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 288,7948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,7948) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(288,7948) x common factors =4 x 1 = 4
LCM(288,7948) = ( 288 × 7948 ) / 4
LCM(288,7948) = 2289024 / 4
LCM(288,7948) = 572256
Lets's calculate GCF of 903,7305
3 | 903, 7305 |
301, 2435 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572256/3
Therefore the LCM of Fractions 288/903,7948/7305 is 190752
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 7305
List of positive integer factors of 7305 that divides 7305 without a remainder.
1,3,5,15,487,1461,2435,7305
Greatest Common Factor
We found the factors 903,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 903,7305 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 288/903, 7948/7305?
Answer: LCM of Numerators as per given numbers 288/903, 7948/7305 is
LCM of Numerators i.e. for 288,7948 is 572256
GCF of denominators i.e. for 903,7305 is 3.
Thus, LCM of Fractions is 190752.Finally, LCM of Fractions for 288/903, 7948/7305 is 190752.