Least Common Multiple of 81/282, 82/129, 599/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/282, 82/129, 599/168 quickly i.e. 1326186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/282, 82/129, 599/168 is 1326186.

LCM(81/282, 82/129, 599/168) = 1326186

LCM of 81/282, 82/129, 599/168

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 81/282,82/129,599/168

Given numbers are 81/282,82/129,599/168

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 81,82,599

Least Common Multiple of Numerators i.e. LCM of 81,82,599 is 3978558.

GCF of Denominators means GCF of 282,129,168 as per the given fractions.

GCF of 282,129,168 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,82,599

LCM of Fractions 81/282,82/129,599/168 is 1326186

Given numbers has no common factors except 1. So, there LCM is their product i.e 3978558

Least Common Multiple of 81,82,599 with GCF Formula

Least Common Multiple of 81,82,599 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 81,82,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,82,599) = 1

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

GCF(81,82,599) x common factors =1 x 1 = 1

LCM(81,82,599) = ( 81 × 82 × 599 ) / 1

LCM(81,82,599) = 3978558 / 1

LCM(81,82,599) = 3978558


Lets's calculate GCF of 282,129,168

3 282, 129, 168
94, 43, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3978558/3

Therefore the LCM of Fractions 81/282,82/129,599/168 is 1326186

Greatest Common Factor of 282,129,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,129,168 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 282,129,168 . The biggest common factor number is the GCF number.
So the greatest common factor 282,129,168 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 81/282, 82/129, 599/168

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 81/282, 82/129, 599/168?

Answer: LCM of Numerators as per given numbers 81/282, 82/129, 599/168 is

LCM of Numerators i.e. for 81,82,599 is 3978558

GCF of denominators i.e. for 282,129,168 is 3.

Thus, LCM of Fractions is 1326186.Finally, LCM of Fractions for 81/282, 82/129, 599/168 is 1326186.