Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 394/946, 2683/243 quickly i.e. 1057102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 394/946, 2683/243 is 1057102.
LCM(394/946, 2683/243) = 1057102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 394/946,2683/243
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 394,2683
Least Common Multiple of Numerators i.e. LCM of 394,2683 is 1057102.
GCF of Denominators means GCF of 946,243 as per the given fractions.
GCF of 946,243 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 394,2683
Given numbers has no common factors except 1. So, there LCM is their product i.e 1057102
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 394,2683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,2683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,2683) x common factors =1 x 1 = 1
LCM(394,2683) = ( 394 × 2683 ) / 1
LCM(394,2683) = 1057102 / 1
LCM(394,2683) = 1057102
Lets's calculate GCF of 946,243
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1057102/1
Therefore the LCM of Fractions 394/946,2683/243 is 1057102
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 946,243 . The biggest common factor number is the GCF number.
So the greatest common factor 946,243 is 1.
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 394/946, 2683/243?
Answer: LCM of Numerators as per given numbers 394/946, 2683/243 is
LCM of Numerators i.e. for 394,2683 is 1057102
GCF of denominators i.e. for 946,243 is 1.
Thus, LCM of Fractions is 1057102.Finally, LCM of Fractions for 394/946, 2683/243 is 1057102.