Least Common Multiple of 27/38, 93/29, 46/26, 46/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/38, 93/29, 46/26, 46/721 quickly i.e. 38502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/38, 93/29, 46/26, 46/721 is 38502.

LCM(27/38, 93/29, 46/26, 46/721) = 38502

LCM of 27/38, 93/29, 46/26, 46/721

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 27/38,93/29,46/26,46/721

Given numbers are 27/38,93/29,46/26,46/721

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 27,93,46,46

Least Common Multiple of Numerators i.e. LCM of 27,93,46,46 is 38502.

GCF of Denominators means GCF of 38,29,26,721 as per the given fractions.

GCF of 38,29,26,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,93,46,46

LCM of Fractions 27/38,93/29,46/26,46/721 is 38502

2 27, 93, 46, 46
3 27, 93, 23, 23
23 9, 31, 23, 23
9, 31, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 23 x 9 x 31 x 1 x 1 = 38502

Least Common Multiple of 27,93,46,46 with GCF Formula

Least Common Multiple of 27,93,46,46 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 27,93,46,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,93,46,46) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(27,93,46,46) x common factors =1 x 138 = 138

LCM(27,93,46,46) = ( 27 × 93 × 46 × 46 ) / 138

LCM(27,93,46,46) = 5313276 / 138

LCM(27,93,46,46) = 38502


Lets's calculate GCF of 38,29,26,721

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38502/1

Therefore the LCM of Fractions 27/38,93/29,46/26,46/721 is 38502

Greatest Common Factor of 38,29,26,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,29,26,721 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 38,29,26,721 . The biggest common factor number is the GCF number.
So the greatest common factor 38,29,26,721 is 1.


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 27/38, 93/29, 46/26, 46/721

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 27/38, 93/29, 46/26, 46/721?

Answer: LCM of Numerators as per given numbers 27/38, 93/29, 46/26, 46/721 is

LCM of Numerators i.e. for 27,93,46,46 is 38502

GCF of denominators i.e. for 38,29,26,721 is 1.

Thus, LCM of Fractions is 38502.Finally, LCM of Fractions for 27/38, 93/29, 46/26, 46/721 is 38502.