Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/294, 13/394 quickly i.e. 260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/294, 13/394 is 260.
LCM(40/294, 13/394) = 260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/294,13/394
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 40,13
Least Common Multiple of Numerators i.e. LCM of 40,13 is 520.
GCF of Denominators means GCF of 294,394 as per the given fractions.
GCF of 294,394 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 520
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 40,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,13) x common factors =1 x 1 = 1
LCM(40,13) = ( 40 × 13 ) / 1
LCM(40,13) = 520 / 1
LCM(40,13) = 520
Lets's calculate GCF of 294,394
2 | 294, 394 |
147, 197 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 520/2
Therefore the LCM of Fractions 40/294,13/394 is 260
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Greatest Common Factor
We found the factors 294,394 . The biggest common factor number is the GCF number.
So the greatest common factor 294,394 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 40/294, 13/394?
Answer: LCM of Numerators as per given numbers 40/294, 13/394 is
LCM of Numerators i.e. for 40,13 is 520
GCF of denominators i.e. for 294,394 is 2.
Thus, LCM of Fractions is 260.Finally, LCM of Fractions for 40/294, 13/394 is 260.