Least Common Multiple of 123/723, 3942/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/723, 3942/198 quickly i.e. 53874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/723, 3942/198 is 53874.

LCM(123/723, 3942/198) = 53874

LCM of 123/723, 3942/198

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 123/723,3942/198

Given numbers are 123/723,3942/198

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 123,3942

Least Common Multiple of Numerators i.e. LCM of 123,3942 is 161622.

GCF of Denominators means GCF of 723,198 as per the given fractions.

GCF of 723,198 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,3942

LCM of Fractions 123/723,3942/198 is 53874

3 123, 3942
41, 1314

∴ So the LCM of the given numbers is 3 x 41 x 1314 = 161622

Least Common Multiple of 123,3942 with GCF Formula

Least Common Multiple of 123,3942 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 123,3942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,3942) = 3

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

GCF(123,3942) x common factors =3 x 1 = 3

LCM(123,3942) = ( 123 × 3942 ) / 3

LCM(123,3942) = 484866 / 3

LCM(123,3942) = 161622


Lets's calculate GCF of 723,198

3 723, 198
241, 66

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161622/3

Therefore the LCM of Fractions 123/723,3942/198 is 53874

Greatest Common Factor of 723,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,198 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

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

Greatest Common Factor

We found the factors 723,198 . The biggest common factor number is the GCF number.
So the greatest common factor 723,198 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 123/723, 3942/198

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 123/723, 3942/198?

Answer: LCM of Numerators as per given numbers 123/723, 3942/198 is

LCM of Numerators i.e. for 123,3942 is 161622

GCF of denominators i.e. for 723,198 is 3.

Thus, LCM of Fractions is 53874.Finally, LCM of Fractions for 123/723, 3942/198 is 53874.