Least Common Multiple of 32/486, 81/405, 222/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/486, 81/405, 222/822 quickly i.e. 31968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/486, 81/405, 222/822 is 31968.

LCM(32/486, 81/405, 222/822) = 31968

LCM of 32/486, 81/405, 222/822

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 32/486,81/405,222/822

Given numbers are 32/486,81/405,222/822

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 32,81,222

Least Common Multiple of Numerators i.e. LCM of 32,81,222 is 95904.

GCF of Denominators means GCF of 486,405,822 as per the given fractions.

GCF of 486,405,822 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,81,222

LCM of Fractions 32/486,81/405,222/822 is 31968

2 32, 81, 222
3 16, 81, 111
16, 27, 37

∴ So the LCM of the given numbers is 2 x 3 x 16 x 27 x 37 = 95904

Least Common Multiple of 32,81,222 with GCF Formula

Least Common Multiple of 32,81,222 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 32,81,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,81,222) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(32,81,222) x common factors =1 x 6 = 6

LCM(32,81,222) = ( 32 × 81 × 222 ) / 6

LCM(32,81,222) = 575424 / 6

LCM(32,81,222) = 95904


Lets's calculate GCF of 486,405,822

3 486, 405, 822
162, 135, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95904/3

Therefore the LCM of Fractions 32/486,81/405,222/822 is 31968

Greatest Common Factor of 486,405,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,405,822 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 486,405,822 . The biggest common factor number is the GCF number.
So the greatest common factor 486,405,822 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 32/486, 81/405, 222/822

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 32/486, 81/405, 222/822?

Answer: LCM of Numerators as per given numbers 32/486, 81/405, 222/822 is

LCM of Numerators i.e. for 32,81,222 is 95904

GCF of denominators i.e. for 486,405,822 is 3.

Thus, LCM of Fractions is 31968.Finally, LCM of Fractions for 32/486, 81/405, 222/822 is 31968.