Least Common Multiple of 408/27, 717/3305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/27, 717/3305 quickly i.e. 97512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/27, 717/3305 is 97512.

LCM(408/27, 717/3305) = 97512

LCM of 408/27, 717/3305

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 408/27,717/3305

Given numbers are 408/27,717/3305

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 408,717

Least Common Multiple of Numerators i.e. LCM of 408,717 is 97512.

GCF of Denominators means GCF of 27,3305 as per the given fractions.

GCF of 27,3305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,717

LCM of Fractions 408/27,717/3305 is 97512

3 408, 717
136, 239

∴ So the LCM of the given numbers is 3 x 136 x 239 = 97512

Least Common Multiple of 408,717 with GCF Formula

Least Common Multiple of 408,717 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 408,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,717) = 3

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

GCF(408,717) x common factors =3 x 1 = 3

LCM(408,717) = ( 408 × 717 ) / 3

LCM(408,717) = 292536 / 3

LCM(408,717) = 97512


Lets's calculate GCF of 27,3305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97512/1

Therefore the LCM of Fractions 408/27,717/3305 is 97512

Greatest Common Factor of 27,3305 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,3305 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1,5,661,3305

Greatest Common Factor

We found the factors 27,3305 . The biggest common factor number is the GCF number.
So the greatest common factor 27,3305 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 408/27, 717/3305

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 408/27, 717/3305?

Answer: LCM of Numerators as per given numbers 408/27, 717/3305 is

LCM of Numerators i.e. for 408,717 is 97512

GCF of denominators i.e. for 27,3305 is 1.

Thus, LCM of Fractions is 97512.Finally, LCM of Fractions for 408/27, 717/3305 is 97512.