Least Common Multiple of 81/493, 2231/5338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/493, 2231/5338 quickly i.e. 180711/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/493, 2231/5338 is 180711/17.

LCM(81/493, 2231/5338) = 180711/17

LCM of 81/493, 2231/5338

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 81/493,2231/5338

Given numbers are 81/493,2231/5338

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 81,2231

Least Common Multiple of Numerators i.e. LCM of 81,2231 is 180711.

GCF of Denominators means GCF of 493,5338 as per the given fractions.

GCF of 493,5338 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,2231

LCM of Fractions 81/493,2231/5338 is 180711/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 180711

Least Common Multiple of 81,2231 with GCF Formula

Least Common Multiple of 81,2231 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 81,2231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,2231) = 1

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

GCF(81,2231) x common factors =1 x 1 = 1

LCM(81,2231) = ( 81 × 2231 ) / 1

LCM(81,2231) = 180711 / 1

LCM(81,2231) = 180711


Lets's calculate GCF of 493,5338

17 493, 5338
29, 314

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180711/17

Therefore the LCM of Fractions 81/493,2231/5338 is 180711/17

Greatest Common Factor of 493,5338 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,5338 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1,2,17,34,157,314,2669,5338

Greatest Common Factor

We found the factors 493,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 493,5338 is 17.


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 81/493, 2231/5338

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 81/493, 2231/5338?

Answer: LCM of Numerators as per given numbers 81/493, 2231/5338 is

LCM of Numerators i.e. for 81,2231 is 180711

GCF of denominators i.e. for 493,5338 is 17.

Thus, LCM of Fractions is 180711/17.Finally, LCM of Fractions for 81/493, 2231/5338 is 180711/17.