Least Common Multiple of 231/28, 293/5362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/28, 293/5362 quickly i.e. 67683/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/28, 293/5362 is 67683/14.

LCM(231/28, 293/5362) = 67683/14

LCM of 231/28, 293/5362

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 231/28,293/5362

Given numbers are 231/28,293/5362

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 231,293

Least Common Multiple of Numerators i.e. LCM of 231,293 is 67683.

GCF of Denominators means GCF of 28,5362 as per the given fractions.

GCF of 28,5362 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,293

LCM of Fractions 231/28,293/5362 is 67683/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 67683

Least Common Multiple of 231,293 with GCF Formula

Least Common Multiple of 231,293 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 231,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,293) = 1

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

GCF(231,293) x common factors =1 x 1 = 1

LCM(231,293) = ( 231 × 293 ) / 1

LCM(231,293) = 67683 / 1

LCM(231,293) = 67683


Lets's calculate GCF of 28,5362

2 28, 5362
7 14, 2681
2, 383

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67683/14

Therefore the LCM of Fractions 231/28,293/5362 is 67683/14

Greatest Common Factor of 28,5362 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,5362 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 5362

List of positive integer factors of 5362 that divides 5362 without a remainder.

1,2,7,14,383,766,2681,5362

Greatest Common Factor

We found the factors 28,5362 . The biggest common factor number is the GCF number.
So the greatest common factor 28,5362 is 14.


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 231/28, 293/5362

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 231/28, 293/5362?

Answer: LCM of Numerators as per given numbers 231/28, 293/5362 is

LCM of Numerators i.e. for 231,293 is 67683

GCF of denominators i.e. for 28,5362 is 14.

Thus, LCM of Fractions is 67683/14.Finally, LCM of Fractions for 231/28, 293/5362 is 67683/14.