Least Common Multiple of 1305/144, 7104/2452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1305/144, 7104/2452 quickly i.e. 772560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1305/144, 7104/2452 is 772560.

LCM(1305/144, 7104/2452) = 772560

LCM of 1305/144, 7104/2452

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 1305/144,7104/2452

Given numbers are 1305/144,7104/2452

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 1305,7104

Least Common Multiple of Numerators i.e. LCM of 1305,7104 is 3090240.

GCF of Denominators means GCF of 144,2452 as per the given fractions.

GCF of 144,2452 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1305,7104

LCM of Fractions 1305/144,7104/2452 is 772560

3 1305, 7104
435, 2368

∴ So the LCM of the given numbers is 3 x 435 x 2368 = 3090240

Least Common Multiple of 1305,7104 with GCF Formula

Least Common Multiple of 1305,7104 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 1305,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1305,7104) = 3

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

GCF(1305,7104) x common factors =3 x 1 = 3

LCM(1305,7104) = ( 1305 × 7104 ) / 3

LCM(1305,7104) = 9270720 / 3

LCM(1305,7104) = 3090240


Lets's calculate GCF of 144,2452

2 144, 2452
2 72, 1226
36, 613

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3090240/4

Therefore the LCM of Fractions 1305/144,7104/2452 is 772560

Greatest Common Factor of 144,2452 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,2452 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 2452

List of positive integer factors of 2452 that divides 2452 without a remainder.

1,2,4,613,1226,2452

Greatest Common Factor

We found the factors 144,2452 . The biggest common factor number is the GCF number.
So the greatest common factor 144,2452 is 4.


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 1305/144, 7104/2452

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 1305/144, 7104/2452?

Answer: LCM of Numerators as per given numbers 1305/144, 7104/2452 is

LCM of Numerators i.e. for 1305,7104 is 3090240

GCF of denominators i.e. for 144,2452 is 4.

Thus, LCM of Fractions is 772560.Finally, LCM of Fractions for 1305/144, 7104/2452 is 772560.