Least Common Multiple of 824/438, 1729/1436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/438, 1729/1436 quickly i.e. 712348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/438, 1729/1436 is 712348.

LCM(824/438, 1729/1436) = 712348

LCM of 824/438, 1729/1436

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 824/438,1729/1436

Given numbers are 824/438,1729/1436

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 824,1729

Least Common Multiple of Numerators i.e. LCM of 824,1729 is 1424696.

GCF of Denominators means GCF of 438,1436 as per the given fractions.

GCF of 438,1436 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,1729

LCM of Fractions 824/438,1729/1436 is 712348

Given numbers has no common factors except 1. So, there LCM is their product i.e 1424696

Least Common Multiple of 824,1729 with GCF Formula

Least Common Multiple of 824,1729 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 824,1729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,1729) = 1

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

GCF(824,1729) x common factors =1 x 1 = 1

LCM(824,1729) = ( 824 × 1729 ) / 1

LCM(824,1729) = 1424696 / 1

LCM(824,1729) = 1424696


Lets's calculate GCF of 438,1436

2 438, 1436
219, 718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1424696/2

Therefore the LCM of Fractions 824/438,1729/1436 is 712348

Greatest Common Factor of 438,1436 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,1436 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 1436

List of positive integer factors of 1436 that divides 1436 without a remainder.

1,2,4,359,718,1436

Greatest Common Factor

We found the factors 438,1436 . The biggest common factor number is the GCF number.
So the greatest common factor 438,1436 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 824/438, 1729/1436

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 824/438, 1729/1436?

Answer: LCM of Numerators as per given numbers 824/438, 1729/1436 is

LCM of Numerators i.e. for 824,1729 is 1424696

GCF of denominators i.e. for 438,1436 is 2.

Thus, LCM of Fractions is 712348.Finally, LCM of Fractions for 824/438, 1729/1436 is 712348.