Least Common Multiple of 3784/198, 7429/146

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

LCM of 3784/198, 7429/146

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3784/198,7429/146

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

LCM of Fractions 3784/198,7429/146 is 14055668

Given numbers has no common factors except 1. So, there LCM is their product i.e 28111336

Least Common Multiple of 3784,7429 with GCF Formula

Least Common Multiple of 3784,7429 with GCF Formula

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

Greatest Common Factor of 198,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,146 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3784/198, 7429/146

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.