Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 388/303, 7794/264 quickly i.e. 504012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 388/303, 7794/264 is 504012.
LCM(388/303, 7794/264) = 504012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 388/303,7794/264
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 388,7794
Least Common Multiple of Numerators i.e. LCM of 388,7794 is 1512036.
GCF of Denominators means GCF of 303,264 as per the given fractions.
GCF of 303,264 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 388,7794
2 | 388, 7794 |
194, 3897 |
∴ So the LCM of the given numbers is 2 x 194 x 3897 = 1512036
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 388,7794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,7794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,7794) x common factors =2 x 1 = 2
LCM(388,7794) = ( 388 × 7794 ) / 2
LCM(388,7794) = 3024072 / 2
LCM(388,7794) = 1512036
Lets's calculate GCF of 303,264
3 | 303, 264 |
101, 88 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1512036/3
Therefore the LCM of Fractions 388/303,7794/264 is 504012
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 303,264 . The biggest common factor number is the GCF number.
So the greatest common factor 303,264 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 388/303, 7794/264?
Answer: LCM of Numerators as per given numbers 388/303, 7794/264 is
LCM of Numerators i.e. for 388,7794 is 1512036
GCF of denominators i.e. for 303,264 is 3.
Thus, LCM of Fractions is 504012.Finally, LCM of Fractions for 388/303, 7794/264 is 504012.