Least Common Multiple of 282/81, 392/8583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/81, 392/8583 quickly i.e. 18424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/81, 392/8583 is 18424.

LCM(282/81, 392/8583) = 18424

LCM of 282/81, 392/8583

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 282/81,392/8583

Given numbers are 282/81,392/8583

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 282,392

Least Common Multiple of Numerators i.e. LCM of 282,392 is 55272.

GCF of Denominators means GCF of 81,8583 as per the given fractions.

GCF of 81,8583 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,392

LCM of Fractions 282/81,392/8583 is 18424

2 282, 392
141, 196

∴ So the LCM of the given numbers is 2 x 141 x 196 = 55272

Least Common Multiple of 282,392 with GCF Formula

Least Common Multiple of 282,392 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 282,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,392) = 2

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

GCF(282,392) x common factors =2 x 1 = 2

LCM(282,392) = ( 282 × 392 ) / 2

LCM(282,392) = 110544 / 2

LCM(282,392) = 55272


Lets's calculate GCF of 81,8583

3 81, 8583
27, 2861

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55272/3

Therefore the LCM of Fractions 282/81,392/8583 is 18424

Greatest Common Factor of 81,8583 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,8583 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 8583

List of positive integer factors of 8583 that divides 8583 without a remainder.

1,3,2861,8583

Greatest Common Factor

We found the factors 81,8583 . The biggest common factor number is the GCF number.
So the greatest common factor 81,8583 is 3.


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 282/81, 392/8583

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 282/81, 392/8583?

Answer: LCM of Numerators as per given numbers 282/81, 392/8583 is

LCM of Numerators i.e. for 282,392 is 55272

GCF of denominators i.e. for 81,8583 is 3.

Thus, LCM of Fractions is 18424.Finally, LCM of Fractions for 282/81, 392/8583 is 18424.