Least Common Multiple of 81/288, 1665/7563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/288, 1665/7563 quickly i.e. 4995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/288, 1665/7563 is 4995.

LCM(81/288, 1665/7563) = 4995

LCM of 81/288, 1665/7563

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 81/288,1665/7563

Given numbers are 81/288,1665/7563

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 81,1665

Least Common Multiple of Numerators i.e. LCM of 81,1665 is 14985.

GCF of Denominators means GCF of 288,7563 as per the given fractions.

GCF of 288,7563 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,1665

LCM of Fractions 81/288,1665/7563 is 4995

3 81, 1665
3 27, 555
9, 185

∴ So the LCM of the given numbers is 3 x 3 x 9 x 185 = 14985

Least Common Multiple of 81,1665 with GCF Formula

Least Common Multiple of 81,1665 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 81,1665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,1665) = 9

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

GCF(81,1665) x common factors =9 x 1 = 9

LCM(81,1665) = ( 81 × 1665 ) / 9

LCM(81,1665) = 134865 / 9

LCM(81,1665) = 14985


Lets's calculate GCF of 288,7563

3 288, 7563
96, 2521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14985/3

Therefore the LCM of Fractions 81/288,1665/7563 is 4995

Greatest Common Factor of 288,7563 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,7563 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 7563

List of positive integer factors of 7563 that divides 7563 without a remainder.

1,3,2521,7563

Greatest Common Factor

We found the factors 288,7563 . The biggest common factor number is the GCF number.
So the greatest common factor 288,7563 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 81/288, 1665/7563

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 81/288, 1665/7563?

Answer: LCM of Numerators as per given numbers 81/288, 1665/7563 is

LCM of Numerators i.e. for 81,1665 is 14985

GCF of denominators i.e. for 288,7563 is 3.

Thus, LCM of Fractions is 4995.Finally, LCM of Fractions for 81/288, 1665/7563 is 4995.