Least Common Multiple of 543/81, 489/42, 864/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 543/81, 489/42, 864/892 quickly i.e. 25490592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/81, 489/42, 864/892 is 25490592.

LCM(543/81, 489/42, 864/892) = 25490592

LCM of 543/81, 489/42, 864/892

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 543/81,489/42,864/892

Given numbers are 543/81,489/42,864/892

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 543,489,864

Least Common Multiple of Numerators i.e. LCM of 543,489,864 is 25490592.

GCF of Denominators means GCF of 81,42,892 as per the given fractions.

GCF of 81,42,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,489,864

LCM of Fractions 543/81,489/42,864/892 is 25490592

3 543, 489, 864
181, 163, 288

∴ So the LCM of the given numbers is 3 x 181 x 163 x 288 = 25490592

Least Common Multiple of 543,489,864 with GCF Formula

Least Common Multiple of 543,489,864 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 543,489,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,489,864) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(543,489,864) x common factors =3 x 3 = 9

LCM(543,489,864) = ( 543 × 489 × 864 ) / 9

LCM(543,489,864) = 229415328 / 9

LCM(543,489,864) = 25490592


Lets's calculate GCF of 81,42,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25490592/1

Therefore the LCM of Fractions 543/81,489/42,864/892 is 25490592

Greatest Common Factor of 81,42,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,42,892 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 81,42,892 . The biggest common factor number is the GCF number.
So the greatest common factor 81,42,892 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 543/81, 489/42, 864/892

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 543/81, 489/42, 864/892?

Answer: LCM of Numerators as per given numbers 543/81, 489/42, 864/892 is

LCM of Numerators i.e. for 543,489,864 is 25490592

GCF of denominators i.e. for 81,42,892 is 1.

Thus, LCM of Fractions is 25490592.Finally, LCM of Fractions for 543/81, 489/42, 864/892 is 25490592.