Least Common Multiple of 18/241, 317/537, 676/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/241, 317/537, 676/789 quickly i.e. 1928628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/241, 317/537, 676/789 is 1928628.

LCM(18/241, 317/537, 676/789) = 1928628

LCM of 18/241, 317/537, 676/789

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 18/241,317/537,676/789

Given numbers are 18/241,317/537,676/789

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 18,317,676

Least Common Multiple of Numerators i.e. LCM of 18,317,676 is 1928628.

GCF of Denominators means GCF of 241,537,789 as per the given fractions.

GCF of 241,537,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,317,676

LCM of Fractions 18/241,317/537,676/789 is 1928628

2 18, 317, 676
9, 317, 338

∴ So the LCM of the given numbers is 2 x 9 x 317 x 338 = 1928628

Least Common Multiple of 18,317,676 with GCF Formula

Least Common Multiple of 18,317,676 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 18,317,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,317,676) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,317,676) x common factors =1 x 2 = 2

LCM(18,317,676) = ( 18 × 317 × 676 ) / 2

LCM(18,317,676) = 3857256 / 2

LCM(18,317,676) = 1928628


Lets's calculate GCF of 241,537,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1928628/1

Therefore the LCM of Fractions 18/241,317/537,676/789 is 1928628

Greatest Common Factor of 241,537,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,537,789 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 241,537,789 . The biggest common factor number is the GCF number.
So the greatest common factor 241,537,789 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 18/241, 317/537, 676/789

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 18/241, 317/537, 676/789?

Answer: LCM of Numerators as per given numbers 18/241, 317/537, 676/789 is

LCM of Numerators i.e. for 18,317,676 is 1928628

GCF of denominators i.e. for 241,537,789 is 1.

Thus, LCM of Fractions is 1928628.Finally, LCM of Fractions for 18/241, 317/537, 676/789 is 1928628.