Least Common Multiple of 744/272, 3409/8485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/272, 3409/8485 quickly i.e. 2536296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/272, 3409/8485 is 2536296.

LCM(744/272, 3409/8485) = 2536296

LCM of 744/272, 3409/8485

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 744/272,3409/8485

Given numbers are 744/272,3409/8485

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 744,3409

Least Common Multiple of Numerators i.e. LCM of 744,3409 is 2536296.

GCF of Denominators means GCF of 272,8485 as per the given fractions.

GCF of 272,8485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,3409

LCM of Fractions 744/272,3409/8485 is 2536296

Given numbers has no common factors except 1. So, there LCM is their product i.e 2536296

Least Common Multiple of 744,3409 with GCF Formula

Least Common Multiple of 744,3409 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 744,3409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,3409) = 1

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

GCF(744,3409) x common factors =1 x 1 = 1

LCM(744,3409) = ( 744 × 3409 ) / 1

LCM(744,3409) = 2536296 / 1

LCM(744,3409) = 2536296


Lets's calculate GCF of 272,8485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2536296/1

Therefore the LCM of Fractions 744/272,3409/8485 is 2536296

Greatest Common Factor of 272,8485 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,8485 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 8485

List of positive integer factors of 8485 that divides 8485 without a remainder.

1,5,1697,8485

Greatest Common Factor

We found the factors 272,8485 . The biggest common factor number is the GCF number.
So the greatest common factor 272,8485 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 744/272, 3409/8485

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 744/272, 3409/8485?

Answer: LCM of Numerators as per given numbers 744/272, 3409/8485 is

LCM of Numerators i.e. for 744,3409 is 2536296

GCF of denominators i.e. for 272,8485 is 1.

Thus, LCM of Fractions is 2536296.Finally, LCM of Fractions for 744/272, 3409/8485 is 2536296.