Least Common Multiple of 729/81, 168/98, 402/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/81, 168/98, 402/320 quickly i.e. 2735208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/81, 168/98, 402/320 is 2735208.

LCM(729/81, 168/98, 402/320) = 2735208

LCM of 729/81, 168/98, 402/320

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 729/81,168/98,402/320

Given numbers are 729/81,168/98,402/320

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 729,168,402

Least Common Multiple of Numerators i.e. LCM of 729,168,402 is 2735208.

GCF of Denominators means GCF of 81,98,320 as per the given fractions.

GCF of 81,98,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,168,402

LCM of Fractions 729/81,168/98,402/320 is 2735208

2 729, 168, 402
3 729, 84, 201
243, 28, 67

∴ So the LCM of the given numbers is 2 x 3 x 243 x 28 x 67 = 2735208

Least Common Multiple of 729,168,402 with GCF Formula

Least Common Multiple of 729,168,402 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 729,168,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,168,402) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(729,168,402) x common factors =3 x 6 = 18

LCM(729,168,402) = ( 729 × 168 × 402 ) / 18

LCM(729,168,402) = 49233744 / 18

LCM(729,168,402) = 2735208


Lets's calculate GCF of 81,98,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2735208/1

Therefore the LCM of Fractions 729/81,168/98,402/320 is 2735208

Greatest Common Factor of 81,98,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,98,320 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 81,98,320 . The biggest common factor number is the GCF number.
So the greatest common factor 81,98,320 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 729/81, 168/98, 402/320

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 729/81, 168/98, 402/320?

Answer: LCM of Numerators as per given numbers 729/81, 168/98, 402/320 is

LCM of Numerators i.e. for 729,168,402 is 2735208

GCF of denominators i.e. for 81,98,320 is 1.

Thus, LCM of Fractions is 2735208.Finally, LCM of Fractions for 729/81, 168/98, 402/320 is 2735208.