Least Common Multiple of 16/82, 277/44, 271/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/82, 277/44, 271/768 quickly i.e. 600536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/82, 277/44, 271/768 is 600536.

LCM(16/82, 277/44, 271/768) = 600536

LCM of 16/82, 277/44, 271/768

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 16/82,277/44,271/768

Given numbers are 16/82,277/44,271/768

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 16,277,271

Least Common Multiple of Numerators i.e. LCM of 16,277,271 is 1201072.

GCF of Denominators means GCF of 82,44,768 as per the given fractions.

GCF of 82,44,768 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,277,271

LCM of Fractions 16/82,277/44,271/768 is 600536

Given numbers has no common factors except 1. So, there LCM is their product i.e 1201072

Least Common Multiple of 16,277,271 with GCF Formula

Least Common Multiple of 16,277,271 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 16,277,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,277,271) = 1

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

GCF(16,277,271) x common factors =1 x 1 = 1

LCM(16,277,271) = ( 16 × 277 × 271 ) / 1

LCM(16,277,271) = 1201072 / 1

LCM(16,277,271) = 1201072


Lets's calculate GCF of 82,44,768

2 82, 44, 768
41, 22, 384

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1201072/2

Therefore the LCM of Fractions 16/82,277/44,271/768 is 600536

Greatest Common Factor of 82,44,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,44,768 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 82,44,768 . The biggest common factor number is the GCF number.
So the greatest common factor 82,44,768 is 2.


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 16/82, 277/44, 271/768

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 16/82, 277/44, 271/768?

Answer: LCM of Numerators as per given numbers 16/82, 277/44, 271/768 is

LCM of Numerators i.e. for 16,277,271 is 1201072

GCF of denominators i.e. for 82,44,768 is 2.

Thus, LCM of Fractions is 600536.Finally, LCM of Fractions for 16/82, 277/44, 271/768 is 600536.