Least Common Multiple of 82/331, 111/909, 999/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/331, 111/909, 999/732 quickly i.e. 81918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/331, 111/909, 999/732 is 81918.

LCM(82/331, 111/909, 999/732) = 81918

LCM of 82/331, 111/909, 999/732

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 82/331,111/909,999/732

Given numbers are 82/331,111/909,999/732

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 82,111,999

Least Common Multiple of Numerators i.e. LCM of 82,111,999 is 81918.

GCF of Denominators means GCF of 331,909,732 as per the given fractions.

GCF of 331,909,732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,111,999

LCM of Fractions 82/331,111/909,999/732 is 81918

3 82, 111, 999
37 82, 37, 333
82, 1, 9

∴ So the LCM of the given numbers is 3 x 37 x 82 x 1 x 9 = 81918

Least Common Multiple of 82,111,999 with GCF Formula

Least Common Multiple of 82,111,999 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 82,111,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,111,999) = 1

common factors(in case of two or more numbers have common factors) = 111

GCF(82,111,999) x common factors =1 x 111 = 111

LCM(82,111,999) = ( 82 × 111 × 999 ) / 111

LCM(82,111,999) = 9092898 / 111

LCM(82,111,999) = 81918


Lets's calculate GCF of 331,909,732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81918/1

Therefore the LCM of Fractions 82/331,111/909,999/732 is 81918

Greatest Common Factor of 331,909,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,909,732 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 331,909,732 . The biggest common factor number is the GCF number.
So the greatest common factor 331,909,732 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 82/331, 111/909, 999/732

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 82/331, 111/909, 999/732?

Answer: LCM of Numerators as per given numbers 82/331, 111/909, 999/732 is

LCM of Numerators i.e. for 82,111,999 is 81918

GCF of denominators i.e. for 331,909,732 is 1.

Thus, LCM of Fractions is 81918.Finally, LCM of Fractions for 82/331, 111/909, 999/732 is 81918.