Least Common Multiple of 81/542, 1583/8441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/542, 1583/8441 quickly i.e. 128223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/542, 1583/8441 is 128223.

LCM(81/542, 1583/8441) = 128223

LCM of 81/542, 1583/8441

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 81/542,1583/8441

Given numbers are 81/542,1583/8441

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 81,1583

Least Common Multiple of Numerators i.e. LCM of 81,1583 is 128223.

GCF of Denominators means GCF of 542,8441 as per the given fractions.

GCF of 542,8441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,1583

LCM of Fractions 81/542,1583/8441 is 128223

Given numbers has no common factors except 1. So, there LCM is their product i.e 128223

Least Common Multiple of 81,1583 with GCF Formula

Least Common Multiple of 81,1583 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 81,1583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,1583) = 1

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

GCF(81,1583) x common factors =1 x 1 = 1

LCM(81,1583) = ( 81 × 1583 ) / 1

LCM(81,1583) = 128223 / 1

LCM(81,1583) = 128223


Lets's calculate GCF of 542,8441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128223/1

Therefore the LCM of Fractions 81/542,1583/8441 is 128223

Greatest Common Factor of 542,8441 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,8441 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 8441

List of positive integer factors of 8441 that divides 8441 without a remainder.

1,23,367,8441

Greatest Common Factor

We found the factors 542,8441 . The biggest common factor number is the GCF number.
So the greatest common factor 542,8441 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 81/542, 1583/8441

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 81/542, 1583/8441?

Answer: LCM of Numerators as per given numbers 81/542, 1583/8441 is

LCM of Numerators i.e. for 81,1583 is 128223

GCF of denominators i.e. for 542,8441 is 1.

Thus, LCM of Fractions is 128223.Finally, LCM of Fractions for 81/542, 1583/8441 is 128223.