Least Common Multiple of 46/538, 27/626, 192/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/538, 27/626, 192/254 quickly i.e. 19872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/538, 27/626, 192/254 is 19872.

LCM(46/538, 27/626, 192/254) = 19872

LCM of 46/538, 27/626, 192/254

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 46/538,27/626,192/254

Given numbers are 46/538,27/626,192/254

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 46,27,192

Least Common Multiple of Numerators i.e. LCM of 46,27,192 is 39744.

GCF of Denominators means GCF of 538,626,254 as per the given fractions.

GCF of 538,626,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,27,192

LCM of Fractions 46/538,27/626,192/254 is 19872

2 46, 27, 192
3 23, 27, 96
23, 9, 32

∴ So the LCM of the given numbers is 2 x 3 x 23 x 9 x 32 = 39744

Least Common Multiple of 46,27,192 with GCF Formula

Least Common Multiple of 46,27,192 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 46,27,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,27,192) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(46,27,192) x common factors =1 x 6 = 6

LCM(46,27,192) = ( 46 × 27 × 192 ) / 6

LCM(46,27,192) = 238464 / 6

LCM(46,27,192) = 39744


Lets's calculate GCF of 538,626,254

2 538, 626, 254
269, 313, 127

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39744/2

Therefore the LCM of Fractions 46/538,27/626,192/254 is 19872

Greatest Common Factor of 538,626,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,626,254 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 538,626,254 . The biggest common factor number is the GCF number.
So the greatest common factor 538,626,254 is 2.


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 46/538, 27/626, 192/254

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 46/538, 27/626, 192/254?

Answer: LCM of Numerators as per given numbers 46/538, 27/626, 192/254 is

LCM of Numerators i.e. for 46,27,192 is 39744

GCF of denominators i.e. for 538,626,254 is 2.

Thus, LCM of Fractions is 19872.Finally, LCM of Fractions for 46/538, 27/626, 192/254 is 19872.