Least Common Multiple of 196/404, 198/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 196/404, 198/303 quickly i.e. 19404/101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/404, 198/303 is 19404/101.

LCM(196/404, 198/303) = 19404/101

LCM of 196/404, 198/303

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 196/404,198/303

Given numbers are 196/404,198/303

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 196,198

Least Common Multiple of Numerators i.e. LCM of 196,198 is 19404.

GCF of Denominators means GCF of 404,303 as per the given fractions.

GCF of 404,303 is 101 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,198

LCM of Fractions 196/404,198/303 is 19404/101

2 196, 198
98, 99

∴ So the LCM of the given numbers is 2 x 98 x 99 = 19404

Least Common Multiple of 196,198 with GCF Formula

Least Common Multiple of 196,198 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 196,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,198) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(196,198) x common factors =2 x 1 = 2

LCM(196,198) = ( 196 × 198 ) / 2

LCM(196,198) = 38808 / 2

LCM(196,198) = 19404


Lets's calculate GCF of 404,303

101 404, 303
4, 3

∴ So the GCF of the given numbers is 101 = 101

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19404/101

Therefore the LCM of Fractions 196/404,198/303 is 19404/101

Greatest Common Factor of 404,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,303 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 404,303 . The biggest common factor number is the GCF number.
So the greatest common factor 404,303 is 101.


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 196/404, 198/303

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 196/404, 198/303?

Answer: LCM of Numerators as per given numbers 196/404, 198/303 is

LCM of Numerators i.e. for 196,198 is 19404

GCF of denominators i.e. for 404,303 is 101.

Thus, LCM of Fractions is 19404/101.Finally, LCM of Fractions for 196/404, 198/303 is 19404/101.