Least Common Multiple of 271/40, 103/14, 744/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/40, 103/14, 744/344 quickly i.e. 10383636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/40, 103/14, 744/344 is 10383636.

LCM(271/40, 103/14, 744/344) = 10383636

LCM of 271/40, 103/14, 744/344

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 271/40,103/14,744/344

Given numbers are 271/40,103/14,744/344

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 271,103,744

Least Common Multiple of Numerators i.e. LCM of 271,103,744 is 20767272.

GCF of Denominators means GCF of 40,14,344 as per the given fractions.

GCF of 40,14,344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,103,744

LCM of Fractions 271/40,103/14,744/344 is 10383636

Given numbers has no common factors except 1. So, there LCM is their product i.e 20767272

Least Common Multiple of 271,103,744 with GCF Formula

Least Common Multiple of 271,103,744 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 271,103,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,103,744) = 1

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

GCF(271,103,744) x common factors =1 x 1 = 1

LCM(271,103,744) = ( 271 × 103 × 744 ) / 1

LCM(271,103,744) = 20767272 / 1

LCM(271,103,744) = 20767272


Lets's calculate GCF of 40,14,344

2 40, 14, 344
20, 7, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20767272/2

Therefore the LCM of Fractions 271/40,103/14,744/344 is 10383636

Greatest Common Factor of 40,14,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,14,344 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 40,14,344 . The biggest common factor number is the GCF number.
So the greatest common factor 40,14,344 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 271/40, 103/14, 744/344

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 271/40, 103/14, 744/344?

Answer: LCM of Numerators as per given numbers 271/40, 103/14, 744/344 is

LCM of Numerators i.e. for 271,103,744 is 20767272

GCF of denominators i.e. for 40,14,344 is 2.

Thus, LCM of Fractions is 10383636.Finally, LCM of Fractions for 271/40, 103/14, 744/344 is 10383636.