Least Common Multiple of 288/14, 319/9792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/14, 319/9792 quickly i.e. 45936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/14, 319/9792 is 45936.

LCM(288/14, 319/9792) = 45936

LCM of 288/14, 319/9792

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 288/14,319/9792

Given numbers are 288/14,319/9792

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 288,319

Least Common Multiple of Numerators i.e. LCM of 288,319 is 91872.

GCF of Denominators means GCF of 14,9792 as per the given fractions.

GCF of 14,9792 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,319

LCM of Fractions 288/14,319/9792 is 45936

Given numbers has no common factors except 1. So, there LCM is their product i.e 91872

Least Common Multiple of 288,319 with GCF Formula

Least Common Multiple of 288,319 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 288,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,319) = 1

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

GCF(288,319) x common factors =1 x 1 = 1

LCM(288,319) = ( 288 × 319 ) / 1

LCM(288,319) = 91872 / 1

LCM(288,319) = 91872


Lets's calculate GCF of 14,9792

2 14, 9792
7, 4896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91872/2

Therefore the LCM of Fractions 288/14,319/9792 is 45936

Greatest Common Factor of 14,9792 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,9792 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792

Greatest Common Factor

We found the factors 14,9792 . The biggest common factor number is the GCF number.
So the greatest common factor 14,9792 is 2.


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 288/14, 319/9792

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 288/14, 319/9792?

Answer: LCM of Numerators as per given numbers 288/14, 319/9792 is

LCM of Numerators i.e. for 288,319 is 91872

GCF of denominators i.e. for 14,9792 is 2.

Thus, LCM of Fractions is 45936.Finally, LCM of Fractions for 288/14, 319/9792 is 45936.