Least Common Multiple of 18/298, 69/103, 729/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/298, 69/103, 729/771 quickly i.e. 33534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/298, 69/103, 729/771 is 33534.

LCM(18/298, 69/103, 729/771) = 33534

LCM of 18/298, 69/103, 729/771

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 18/298,69/103,729/771

Given numbers are 18/298,69/103,729/771

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 18,69,729

Least Common Multiple of Numerators i.e. LCM of 18,69,729 is 33534.

GCF of Denominators means GCF of 298,103,771 as per the given fractions.

GCF of 298,103,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,69,729

LCM of Fractions 18/298,69/103,729/771 is 33534

3 18, 69, 729
3 6, 23, 243
2, 23, 81

∴ So the LCM of the given numbers is 3 x 3 x 2 x 23 x 81 = 33534

Least Common Multiple of 18,69,729 with GCF Formula

Least Common Multiple of 18,69,729 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 18,69,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,69,729) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(18,69,729) x common factors =3 x 9 = 27

LCM(18,69,729) = ( 18 × 69 × 729 ) / 27

LCM(18,69,729) = 905418 / 27

LCM(18,69,729) = 33534


Lets's calculate GCF of 298,103,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33534/1

Therefore the LCM of Fractions 18/298,69/103,729/771 is 33534

Greatest Common Factor of 298,103,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,103,771 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 298,103,771 . The biggest common factor number is the GCF number.
So the greatest common factor 298,103,771 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 18/298, 69/103, 729/771

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 18/298, 69/103, 729/771?

Answer: LCM of Numerators as per given numbers 18/298, 69/103, 729/771 is

LCM of Numerators i.e. for 18,69,729 is 33534

GCF of denominators i.e. for 298,103,771 is 1.

Thus, LCM of Fractions is 33534.Finally, LCM of Fractions for 18/298, 69/103, 729/771 is 33534.