Least Common Multiple of 84/729, 1744/4224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/729, 1744/4224 quickly i.e. 12208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/729, 1744/4224 is 12208.

LCM(84/729, 1744/4224) = 12208

LCM of 84/729, 1744/4224

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 84/729,1744/4224

Given numbers are 84/729,1744/4224

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 84,1744

Least Common Multiple of Numerators i.e. LCM of 84,1744 is 36624.

GCF of Denominators means GCF of 729,4224 as per the given fractions.

GCF of 729,4224 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,1744

LCM of Fractions 84/729,1744/4224 is 12208

2 84, 1744
2 42, 872
21, 436

∴ So the LCM of the given numbers is 2 x 2 x 21 x 436 = 36624

Least Common Multiple of 84,1744 with GCF Formula

Least Common Multiple of 84,1744 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 84,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,1744) = 4

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

GCF(84,1744) x common factors =4 x 1 = 4

LCM(84,1744) = ( 84 × 1744 ) / 4

LCM(84,1744) = 146496 / 4

LCM(84,1744) = 36624


Lets's calculate GCF of 729,4224

3 729, 4224
243, 1408

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36624/3

Therefore the LCM of Fractions 84/729,1744/4224 is 12208

Greatest Common Factor of 729,4224 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,4224 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 4224

List of positive integer factors of 4224 that divides 4224 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,264,352,384,528,704,1056,1408,2112,4224

Greatest Common Factor

We found the factors 729,4224 . The biggest common factor number is the GCF number.
So the greatest common factor 729,4224 is 3.


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 84/729, 1744/4224

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 84/729, 1744/4224?

Answer: LCM of Numerators as per given numbers 84/729, 1744/4224 is

LCM of Numerators i.e. for 84,1744 is 36624

GCF of denominators i.e. for 729,4224 is 3.

Thus, LCM of Fractions is 12208.Finally, LCM of Fractions for 84/729, 1744/4224 is 12208.