Least Common Multiple of 723/54, 171/7254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/54, 171/7254 quickly i.e. 41211/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/54, 171/7254 is 41211/18.

LCM(723/54, 171/7254) = 41211/18

LCM of 723/54, 171/7254

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 723/54,171/7254

Given numbers are 723/54,171/7254

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 723,171

Least Common Multiple of Numerators i.e. LCM of 723,171 is 41211.

GCF of Denominators means GCF of 54,7254 as per the given fractions.

GCF of 54,7254 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,171

LCM of Fractions 723/54,171/7254 is 41211/18

3 723, 171
241, 57

∴ So the LCM of the given numbers is 3 x 241 x 57 = 41211

Least Common Multiple of 723,171 with GCF Formula

Least Common Multiple of 723,171 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 723,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,171) = 3

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

GCF(723,171) x common factors =3 x 1 = 3

LCM(723,171) = ( 723 × 171 ) / 3

LCM(723,171) = 123633 / 3

LCM(723,171) = 41211


Lets's calculate GCF of 54,7254

2 54, 7254
3 27, 3627
3 9, 1209
3, 403

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41211/18

Therefore the LCM of Fractions 723/54,171/7254 is 41211/18

Greatest Common Factor of 54,7254 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,7254 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254

Greatest Common Factor

We found the factors 54,7254 . The biggest common factor number is the GCF number.
So the greatest common factor 54,7254 is 18.


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 723/54, 171/7254

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 723/54, 171/7254?

Answer: LCM of Numerators as per given numbers 723/54, 171/7254 is

LCM of Numerators i.e. for 723,171 is 41211

GCF of denominators i.e. for 54,7254 is 18.

Thus, LCM of Fractions is 41211/18.Finally, LCM of Fractions for 723/54, 171/7254 is 41211/18.