Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/694, 6968/2146 quickly i.e. 3484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/694, 6968/2146 is 3484.
LCM(67/694, 6968/2146) = 3484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/694,6968/2146
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 67,6968
Least Common Multiple of Numerators i.e. LCM of 67,6968 is 6968.
GCF of Denominators means GCF of 694,2146 as per the given fractions.
GCF of 694,2146 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,6968
67 | 67, 6968 |
1, 104 |
∴ So the LCM of the given numbers is 67 x 1 x 104 = 6968
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 67,6968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,6968) = 67
common factors(in case of two or more numbers have common factors) = 1
GCF(67,6968) x common factors =67 x 1 = 67
LCM(67,6968) = ( 67 × 6968 ) / 67
LCM(67,6968) = 466856 / 67
LCM(67,6968) = 6968
Lets's calculate GCF of 694,2146
2 | 694, 2146 |
347, 1073 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6968/2
Therefore the LCM of Fractions 67/694,6968/2146 is 3484
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 2146
List of positive integer factors of 2146 that divides 2146 without a remainder.
1,2,29,37,58,74,1073,2146
Greatest Common Factor
We found the factors 694,2146 . The biggest common factor number is the GCF number.
So the greatest common factor 694,2146 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 67/694, 6968/2146?
Answer: LCM of Numerators as per given numbers 67/694, 6968/2146 is
LCM of Numerators i.e. for 67,6968 is 6968
GCF of denominators i.e. for 694,2146 is 2.
Thus, LCM of Fractions is 3484.Finally, LCM of Fractions for 67/694, 6968/2146 is 3484.