Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 367/246, 7184/326 quickly i.e. 1318264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 367/246, 7184/326 is 1318264.
LCM(367/246, 7184/326) = 1318264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 367/246,7184/326
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 367,7184
Least Common Multiple of Numerators i.e. LCM of 367,7184 is 2636528.
GCF of Denominators means GCF of 246,326 as per the given fractions.
GCF of 246,326 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 367,7184
Given numbers has no common factors except 1. So, there LCM is their product i.e 2636528
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 367,7184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,7184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,7184) x common factors =1 x 1 = 1
LCM(367,7184) = ( 367 × 7184 ) / 1
LCM(367,7184) = 2636528 / 1
LCM(367,7184) = 2636528
Lets's calculate GCF of 246,326
2 | 246, 326 |
123, 163 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2636528/2
Therefore the LCM of Fractions 367/246,7184/326 is 1318264
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 246,326 . The biggest common factor number is the GCF number.
So the greatest common factor 246,326 is 2.
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 367/246, 7184/326?
Answer: LCM of Numerators as per given numbers 367/246, 7184/326 is
LCM of Numerators i.e. for 367,7184 is 2636528
GCF of denominators i.e. for 246,326 is 2.
Thus, LCM of Fractions is 1318264.Finally, LCM of Fractions for 367/246, 7184/326 is 1318264.