Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1366/306, 2383/288 quickly i.e. 3255178/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1366/306, 2383/288 is 3255178/18.
LCM(1366/306, 2383/288) = 3255178/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1366/306,2383/288
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 1366,2383
Least Common Multiple of Numerators i.e. LCM of 1366,2383 is 3255178.
GCF of Denominators means GCF of 306,288 as per the given fractions.
GCF of 306,288 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1366,2383
Given numbers has no common factors except 1. So, there LCM is their product i.e 3255178
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 1366,2383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1366,2383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1366,2383) x common factors =1 x 1 = 1
LCM(1366,2383) = ( 1366 × 2383 ) / 1
LCM(1366,2383) = 3255178 / 1
LCM(1366,2383) = 3255178
Lets's calculate GCF of 306,288
2 | 306, 288 |
3 | 153, 144 |
3 | 51, 48 |
17, 16 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3255178/18
Therefore the LCM of Fractions 1366/306,2383/288 is 3255178/18
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 306,288 . The biggest common factor number is the GCF number.
So the greatest common factor 306,288 is 18.
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 1366/306, 2383/288?
Answer: LCM of Numerators as per given numbers 1366/306, 2383/288 is
LCM of Numerators i.e. for 1366,2383 is 3255178
GCF of denominators i.e. for 306,288 is 18.
Thus, LCM of Fractions is 3255178/18.Finally, LCM of Fractions for 1366/306, 2383/288 is 3255178/18.