Least Common Multiple of 32/288, 3723/6528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/288, 3723/6528 quickly i.e. 1241 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/288, 3723/6528 is 1241.

LCM(32/288, 3723/6528) = 1241

LCM of 32/288, 3723/6528

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 32/288,3723/6528

Given numbers are 32/288,3723/6528

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 32,3723

Least Common Multiple of Numerators i.e. LCM of 32,3723 is 119136.

GCF of Denominators means GCF of 288,6528 as per the given fractions.

GCF of 288,6528 is 96 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,3723

LCM of Fractions 32/288,3723/6528 is 1241

Given numbers has no common factors except 1. So, there LCM is their product i.e 119136

Least Common Multiple of 32,3723 with GCF Formula

Least Common Multiple of 32,3723 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 32,3723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,3723) = 1

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

GCF(32,3723) x common factors =1 x 1 = 1

LCM(32,3723) = ( 32 × 3723 ) / 1

LCM(32,3723) = 119136 / 1

LCM(32,3723) = 119136


Lets's calculate GCF of 288,6528

2 288, 6528
2 144, 3264
2 72, 1632
2 36, 816
2 18, 408
3 9, 204
3, 68

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119136/96

Therefore the LCM of Fractions 32/288,3723/6528 is 1241

Greatest Common Factor of 288,6528 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,6528 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 6528

List of positive integer factors of 6528 that divides 6528 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528

Greatest Common Factor

We found the factors 288,6528 . The biggest common factor number is the GCF number.
So the greatest common factor 288,6528 is 96.


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 32/288, 3723/6528

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 32/288, 3723/6528?

Answer: LCM of Numerators as per given numbers 32/288, 3723/6528 is

LCM of Numerators i.e. for 32,3723 is 119136

GCF of denominators i.e. for 288,6528 is 96.

Thus, LCM of Fractions is 1241.Finally, LCM of Fractions for 32/288, 3723/6528 is 1241.