Least Common Multiple of 603/81, 309/1117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 603/81, 309/1117 quickly i.e. 62109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 603/81, 309/1117 is 62109.

LCM(603/81, 309/1117) = 62109

LCM of 603/81, 309/1117

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 603/81,309/1117

Given numbers are 603/81,309/1117

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 603,309

Least Common Multiple of Numerators i.e. LCM of 603,309 is 62109.

GCF of Denominators means GCF of 81,1117 as per the given fractions.

GCF of 81,1117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 603,309

LCM of Fractions 603/81,309/1117 is 62109

3 603, 309
201, 103

∴ So the LCM of the given numbers is 3 x 201 x 103 = 62109

Least Common Multiple of 603,309 with GCF Formula

Least Common Multiple of 603,309 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 603,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,309) = 3

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

GCF(603,309) x common factors =3 x 1 = 3

LCM(603,309) = ( 603 × 309 ) / 3

LCM(603,309) = 186327 / 3

LCM(603,309) = 62109


Lets's calculate GCF of 81,1117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62109/1

Therefore the LCM of Fractions 603/81,309/1117 is 62109

Greatest Common Factor of 81,1117 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,1117 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 1117

List of positive integer factors of 1117 that divides 1117 without a remainder.

1,1117

Greatest Common Factor

We found the factors 81,1117 . The biggest common factor number is the GCF number.
So the greatest common factor 81,1117 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 603/81, 309/1117

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 603/81, 309/1117?

Answer: LCM of Numerators as per given numbers 603/81, 309/1117 is

LCM of Numerators i.e. for 603,309 is 62109

GCF of denominators i.e. for 81,1117 is 1.

Thus, LCM of Fractions is 62109.Finally, LCM of Fractions for 603/81, 309/1117 is 62109.