Least Common Multiple of 71/42, 472/32, 439/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/42, 472/32, 439/943 quickly i.e. 14711768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/42, 472/32, 439/943 is 14711768.

LCM(71/42, 472/32, 439/943) = 14711768

LCM of 71/42, 472/32, 439/943

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 71/42,472/32,439/943

Given numbers are 71/42,472/32,439/943

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 71,472,439

Least Common Multiple of Numerators i.e. LCM of 71,472,439 is 14711768.

GCF of Denominators means GCF of 42,32,943 as per the given fractions.

GCF of 42,32,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,472,439

LCM of Fractions 71/42,472/32,439/943 is 14711768

Given numbers has no common factors except 1. So, there LCM is their product i.e 14711768

Least Common Multiple of 71,472,439 with GCF Formula

Least Common Multiple of 71,472,439 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 71,472,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,472,439) = 1

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

GCF(71,472,439) x common factors =1 x 1 = 1

LCM(71,472,439) = ( 71 × 472 × 439 ) / 1

LCM(71,472,439) = 14711768 / 1

LCM(71,472,439) = 14711768


Lets's calculate GCF of 42,32,943

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14711768/1

Therefore the LCM of Fractions 71/42,472/32,439/943 is 14711768

Greatest Common Factor of 42,32,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,32,943 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 42,32,943 . The biggest common factor number is the GCF number.
So the greatest common factor 42,32,943 is 1.


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 71/42, 472/32, 439/943

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 71/42, 472/32, 439/943?

Answer: LCM of Numerators as per given numbers 71/42, 472/32, 439/943 is

LCM of Numerators i.e. for 71,472,439 is 14711768

GCF of denominators i.e. for 42,32,943 is 1.

Thus, LCM of Fractions is 14711768.Finally, LCM of Fractions for 71/42, 472/32, 439/943 is 14711768.