Least Common Multiple of 273/27, 4446/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/27, 4446/873 quickly i.e. 3458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/27, 4446/873 is 3458.

LCM(273/27, 4446/873) = 3458

LCM of 273/27, 4446/873

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 273/27,4446/873

Given numbers are 273/27,4446/873

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 273,4446

Least Common Multiple of Numerators i.e. LCM of 273,4446 is 31122.

GCF of Denominators means GCF of 27,873 as per the given fractions.

GCF of 27,873 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,4446

LCM of Fractions 273/27,4446/873 is 3458

3 273, 4446
13 91, 1482
7, 114

∴ So the LCM of the given numbers is 3 x 13 x 7 x 114 = 31122

Least Common Multiple of 273,4446 with GCF Formula

Least Common Multiple of 273,4446 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 273,4446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,4446) = 39

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

GCF(273,4446) x common factors =39 x 1 = 39

LCM(273,4446) = ( 273 × 4446 ) / 39

LCM(273,4446) = 1213758 / 39

LCM(273,4446) = 31122


Lets's calculate GCF of 27,873

3 27, 873
3 9, 291
3, 97

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31122/9

Therefore the LCM of Fractions 273/27,4446/873 is 3458

Greatest Common Factor of 27,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,873 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 27,873 . The biggest common factor number is the GCF number.
So the greatest common factor 27,873 is 9.


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 273/27, 4446/873

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 273/27, 4446/873?

Answer: LCM of Numerators as per given numbers 273/27, 4446/873 is

LCM of Numerators i.e. for 273,4446 is 31122

GCF of denominators i.e. for 27,873 is 9.

Thus, LCM of Fractions is 3458.Finally, LCM of Fractions for 273/27, 4446/873 is 3458.