Least Common Multiple of 270/320, 2648/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/320, 2648/405 quickly i.e. 71496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/320, 2648/405 is 71496.

LCM(270/320, 2648/405) = 71496

LCM of 270/320, 2648/405

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 270/320,2648/405

Given numbers are 270/320,2648/405

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 270,2648

Least Common Multiple of Numerators i.e. LCM of 270,2648 is 357480.

GCF of Denominators means GCF of 320,405 as per the given fractions.

GCF of 320,405 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,2648

LCM of Fractions 270/320,2648/405 is 71496

2 270, 2648
135, 1324

∴ So the LCM of the given numbers is 2 x 135 x 1324 = 357480

Least Common Multiple of 270,2648 with GCF Formula

Least Common Multiple of 270,2648 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 270,2648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,2648) = 2

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

GCF(270,2648) x common factors =2 x 1 = 2

LCM(270,2648) = ( 270 × 2648 ) / 2

LCM(270,2648) = 714960 / 2

LCM(270,2648) = 357480


Lets's calculate GCF of 320,405

5 320, 405
64, 81

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 357480/5

Therefore the LCM of Fractions 270/320,2648/405 is 71496

Greatest Common Factor of 320,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,405 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 320,405 . The biggest common factor number is the GCF number.
So the greatest common factor 320,405 is 5.


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 270/320, 2648/405

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 270/320, 2648/405?

Answer: LCM of Numerators as per given numbers 270/320, 2648/405 is

LCM of Numerators i.e. for 270,2648 is 357480

GCF of denominators i.e. for 320,405 is 5.

Thus, LCM of Fractions is 71496.Finally, LCM of Fractions for 270/320, 2648/405 is 71496.