Least Common Multiple of 38/369, 92/483, 181/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/369, 92/483, 181/333 quickly i.e. 316388/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/369, 92/483, 181/333 is 316388/3.

LCM(38/369, 92/483, 181/333) = 316388/3

LCM of 38/369, 92/483, 181/333

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 38/369,92/483,181/333

Given numbers are 38/369,92/483,181/333

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 38,92,181

Least Common Multiple of Numerators i.e. LCM of 38,92,181 is 316388.

GCF of Denominators means GCF of 369,483,333 as per the given fractions.

GCF of 369,483,333 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,92,181

LCM of Fractions 38/369,92/483,181/333 is 316388/3

2 38, 92, 181
19, 46, 181

∴ So the LCM of the given numbers is 2 x 19 x 46 x 181 = 316388

Least Common Multiple of 38,92,181 with GCF Formula

Least Common Multiple of 38,92,181 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 38,92,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,92,181) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,92,181) x common factors =1 x 2 = 2

LCM(38,92,181) = ( 38 × 92 × 181 ) / 2

LCM(38,92,181) = 632776 / 2

LCM(38,92,181) = 316388


Lets's calculate GCF of 369,483,333

3 369, 483, 333
123, 161, 111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316388/3

Therefore the LCM of Fractions 38/369,92/483,181/333 is 316388/3

Greatest Common Factor of 369,483,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,483,333 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 369,483,333 . The biggest common factor number is the GCF number.
So the greatest common factor 369,483,333 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 38/369, 92/483, 181/333

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 38/369, 92/483, 181/333?

Answer: LCM of Numerators as per given numbers 38/369, 92/483, 181/333 is

LCM of Numerators i.e. for 38,92,181 is 316388

GCF of denominators i.e. for 369,483,333 is 3.

Thus, LCM of Fractions is 316388/3.Finally, LCM of Fractions for 38/369, 92/483, 181/333 is 316388/3.