Least Common Multiple of 432/71, 838/2723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/71, 838/2723 quickly i.e. 181008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/71, 838/2723 is 181008.

LCM(432/71, 838/2723) = 181008

LCM of 432/71, 838/2723

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 432/71,838/2723

Given numbers are 432/71,838/2723

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 432,838

Least Common Multiple of Numerators i.e. LCM of 432,838 is 181008.

GCF of Denominators means GCF of 71,2723 as per the given fractions.

GCF of 71,2723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,838

LCM of Fractions 432/71,838/2723 is 181008

2 432, 838
216, 419

∴ So the LCM of the given numbers is 2 x 216 x 419 = 181008

Least Common Multiple of 432,838 with GCF Formula

Least Common Multiple of 432,838 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 432,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,838) = 2

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

GCF(432,838) x common factors =2 x 1 = 2

LCM(432,838) = ( 432 × 838 ) / 2

LCM(432,838) = 362016 / 2

LCM(432,838) = 181008


Lets's calculate GCF of 71,2723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181008/1

Therefore the LCM of Fractions 432/71,838/2723 is 181008

Greatest Common Factor of 71,2723 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,2723 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 2723

List of positive integer factors of 2723 that divides 2723 without a remainder.

1,7,389,2723

Greatest Common Factor

We found the factors 71,2723 . The biggest common factor number is the GCF number.
So the greatest common factor 71,2723 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 432/71, 838/2723

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 432/71, 838/2723?

Answer: LCM of Numerators as per given numbers 432/71, 838/2723 is

LCM of Numerators i.e. for 432,838 is 181008

GCF of denominators i.e. for 71,2723 is 1.

Thus, LCM of Fractions is 181008.Finally, LCM of Fractions for 432/71, 838/2723 is 181008.