Least Common Multiple of 81/21, 47/33, 473/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/21, 47/33, 473/495 quickly i.e. 600237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/21, 47/33, 473/495 is 600237.

LCM(81/21, 47/33, 473/495) = 600237

LCM of 81/21, 47/33, 473/495

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 81/21,47/33,473/495

Given numbers are 81/21,47/33,473/495

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 81,47,473

Least Common Multiple of Numerators i.e. LCM of 81,47,473 is 1800711.

GCF of Denominators means GCF of 21,33,495 as per the given fractions.

GCF of 21,33,495 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,47,473

LCM of Fractions 81/21,47/33,473/495 is 600237

Given numbers has no common factors except 1. So, there LCM is their product i.e 1800711

Least Common Multiple of 81,47,473 with GCF Formula

Least Common Multiple of 81,47,473 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 81,47,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,47,473) = 1

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

GCF(81,47,473) x common factors =1 x 1 = 1

LCM(81,47,473) = ( 81 × 47 × 473 ) / 1

LCM(81,47,473) = 1800711 / 1

LCM(81,47,473) = 1800711


Lets's calculate GCF of 21,33,495

3 21, 33, 495
7, 11, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1800711/3

Therefore the LCM of Fractions 81/21,47/33,473/495 is 600237

Greatest Common Factor of 21,33,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,33,495 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 21,33,495 . The biggest common factor number is the GCF number.
So the greatest common factor 21,33,495 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 81/21, 47/33, 473/495

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 81/21, 47/33, 473/495?

Answer: LCM of Numerators as per given numbers 81/21, 47/33, 473/495 is

LCM of Numerators i.e. for 81,47,473 is 1800711

GCF of denominators i.e. for 21,33,495 is 3.

Thus, LCM of Fractions is 600237.Finally, LCM of Fractions for 81/21, 47/33, 473/495 is 600237.