Least Common Multiple of 483/27, 438/2607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 483/27, 438/2607 quickly i.e. 23506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 483/27, 438/2607 is 23506.

LCM(483/27, 438/2607) = 23506

LCM of 483/27, 438/2607

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 483/27,438/2607

Given numbers are 483/27,438/2607

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 483,438

Least Common Multiple of Numerators i.e. LCM of 483,438 is 70518.

GCF of Denominators means GCF of 27,2607 as per the given fractions.

GCF of 27,2607 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 483,438

LCM of Fractions 483/27,438/2607 is 23506

3 483, 438
161, 146

∴ So the LCM of the given numbers is 3 x 161 x 146 = 70518

Least Common Multiple of 483,438 with GCF Formula

Least Common Multiple of 483,438 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 483,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,438) = 3

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

GCF(483,438) x common factors =3 x 1 = 3

LCM(483,438) = ( 483 × 438 ) / 3

LCM(483,438) = 211554 / 3

LCM(483,438) = 70518


Lets's calculate GCF of 27,2607

3 27, 2607
9, 869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70518/3

Therefore the LCM of Fractions 483/27,438/2607 is 23506

Greatest Common Factor of 27,2607 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,2607 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 2607

List of positive integer factors of 2607 that divides 2607 without a remainder.

1,3,11,33,79,237,869,2607

Greatest Common Factor

We found the factors 27,2607 . The biggest common factor number is the GCF number.
So the greatest common factor 27,2607 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 483/27, 438/2607

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 483/27, 438/2607?

Answer: LCM of Numerators as per given numbers 483/27, 438/2607 is

LCM of Numerators i.e. for 483,438 is 70518

GCF of denominators i.e. for 27,2607 is 3.

Thus, LCM of Fractions is 23506.Finally, LCM of Fractions for 483/27, 438/2607 is 23506.