Least Common Multiple of 2184/240, 1265/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2184/240, 1265/468 quickly i.e. 230230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2184/240, 1265/468 is 230230.

LCM(2184/240, 1265/468) = 230230

LCM of 2184/240, 1265/468

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 2184/240,1265/468

Given numbers are 2184/240,1265/468

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 2184,1265

Least Common Multiple of Numerators i.e. LCM of 2184,1265 is 2762760.

GCF of Denominators means GCF of 240,468 as per the given fractions.

GCF of 240,468 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2184,1265

LCM of Fractions 2184/240,1265/468 is 230230

Given numbers has no common factors except 1. So, there LCM is their product i.e 2762760

Least Common Multiple of 2184,1265 with GCF Formula

Least Common Multiple of 2184,1265 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 2184,1265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2184,1265) = 1

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

GCF(2184,1265) x common factors =1 x 1 = 1

LCM(2184,1265) = ( 2184 × 1265 ) / 1

LCM(2184,1265) = 2762760 / 1

LCM(2184,1265) = 2762760


Lets's calculate GCF of 240,468

2 240, 468
2 120, 234
3 60, 117
20, 39

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2762760/12

Therefore the LCM of Fractions 2184/240,1265/468 is 230230

Greatest Common Factor of 240,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,468 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 240,468 . The biggest common factor number is the GCF number.
So the greatest common factor 240,468 is 12.


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 2184/240, 1265/468

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 2184/240, 1265/468?

Answer: LCM of Numerators as per given numbers 2184/240, 1265/468 is

LCM of Numerators i.e. for 2184,1265 is 2762760

GCF of denominators i.e. for 240,468 is 12.

Thus, LCM of Fractions is 230230.Finally, LCM of Fractions for 2184/240, 1265/468 is 230230.