Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3784/198, 7429/146 quickly i.e. 14055668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3784/198, 7429/146 is 14055668.
LCM(3784/198, 7429/146) = 14055668
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3784/198,7429/146
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 3784,7429
Least Common Multiple of Numerators i.e. LCM of 3784,7429 is 28111336.
GCF of Denominators means GCF of 198,146 as per the given fractions.
GCF of 198,146 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3784,7429
Given numbers has no common factors except 1. So, there LCM is their product i.e 28111336
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 3784,7429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3784,7429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3784,7429) x common factors =1 x 1 = 1
LCM(3784,7429) = ( 3784 × 7429 ) / 1
LCM(3784,7429) = 28111336 / 1
LCM(3784,7429) = 28111336
Lets's calculate GCF of 198,146
2 | 198, 146 |
99, 73 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28111336/2
Therefore the LCM of Fractions 3784/198,7429/146 is 14055668
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 198,146 . The biggest common factor number is the GCF number.
So the greatest common factor 198,146 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 3784/198, 7429/146?
Answer: LCM of Numerators as per given numbers 3784/198, 7429/146 is
LCM of Numerators i.e. for 3784,7429 is 28111336
GCF of denominators i.e. for 198,146 is 2.
Thus, LCM of Fractions is 14055668.Finally, LCM of Fractions for 3784/198, 7429/146 is 14055668.