Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/308, 11/266 quickly i.e. 418/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/308, 11/266 is 418/14.
LCM(38/308, 11/266) = 418/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/308,11/266
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 38,11
Least Common Multiple of Numerators i.e. LCM of 38,11 is 418.
GCF of Denominators means GCF of 308,266 as per the given fractions.
GCF of 308,266 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,11
Given numbers has no common factors except 1. So, there LCM is their product i.e 418
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 38,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,11) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,11) x common factors =1 x 1 = 1
LCM(38,11) = ( 38 × 11 ) / 1
LCM(38,11) = 418 / 1
LCM(38,11) = 418
Lets's calculate GCF of 308,266
2 | 308, 266 |
7 | 154, 133 |
22, 19 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418/14
Therefore the LCM of Fractions 38/308,11/266 is 418/14
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 308,266 . The biggest common factor number is the GCF number.
So the greatest common factor 308,266 is 14.
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 38/308, 11/266?
Answer: LCM of Numerators as per given numbers 38/308, 11/266 is
LCM of Numerators i.e. for 38,11 is 418
GCF of denominators i.e. for 308,266 is 14.
Thus, LCM of Fractions is 418/14.Finally, LCM of Fractions for 38/308, 11/266 is 418/14.