Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3690/394, 6966/144 quickly i.e. 714015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3690/394, 6966/144 is 714015.
LCM(3690/394, 6966/144) = 714015
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3690/394,6966/144
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 3690,6966
Least Common Multiple of Numerators i.e. LCM of 3690,6966 is 1428030.
GCF of Denominators means GCF of 394,144 as per the given fractions.
GCF of 394,144 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3690,6966
2 | 3690, 6966 |
3 | 1845, 3483 |
3 | 615, 1161 |
205, 387 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 205 x 387 = 1428030
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 3690,6966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3690,6966) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(3690,6966) x common factors =18 x 1 = 18
LCM(3690,6966) = ( 3690 × 6966 ) / 18
LCM(3690,6966) = 25704540 / 18
LCM(3690,6966) = 1428030
Lets's calculate GCF of 394,144
2 | 394, 144 |
197, 72 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1428030/2
Therefore the LCM of Fractions 3690/394,6966/144 is 714015
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 394,144 . The biggest common factor number is the GCF number.
So the greatest common factor 394,144 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 3690/394, 6966/144?
Answer: LCM of Numerators as per given numbers 3690/394, 6966/144 is
LCM of Numerators i.e. for 3690,6966 is 1428030
GCF of denominators i.e. for 394,144 is 2.
Thus, LCM of Fractions is 714015.Finally, LCM of Fractions for 3690/394, 6966/144 is 714015.