Least Common Multiple of 384/29, 2688/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/29, 2688/320 quickly i.e. 2688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/29, 2688/320 is 2688.

LCM(384/29, 2688/320) = 2688

LCM of 384/29, 2688/320

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 384/29,2688/320

Given numbers are 384/29,2688/320

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 384,2688

Least Common Multiple of Numerators i.e. LCM of 384,2688 is 2688.

GCF of Denominators means GCF of 29,320 as per the given fractions.

GCF of 29,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,2688

LCM of Fractions 384/29,2688/320 is 2688

2 384, 2688
2 192, 1344
2 96, 672
2 48, 336
2 24, 168
2 12, 84
2 6, 42
3 3, 21
1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 7 = 2688

Least Common Multiple of 384,2688 with GCF Formula

Least Common Multiple of 384,2688 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 384,2688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,2688) = 384

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

GCF(384,2688) x common factors =384 x 1 = 384

LCM(384,2688) = ( 384 × 2688 ) / 384

LCM(384,2688) = 1032192 / 384

LCM(384,2688) = 2688


Lets's calculate GCF of 29,320

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2688/1

Therefore the LCM of Fractions 384/29,2688/320 is 2688

Greatest Common Factor of 29,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,320 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

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

Greatest Common Factor

We found the factors 29,320 . The biggest common factor number is the GCF number.
So the greatest common factor 29,320 is 1.


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 384/29, 2688/320

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 384/29, 2688/320?

Answer: LCM of Numerators as per given numbers 384/29, 2688/320 is

LCM of Numerators i.e. for 384,2688 is 2688

GCF of denominators i.e. for 29,320 is 1.

Thus, LCM of Fractions is 2688.Finally, LCM of Fractions for 384/29, 2688/320 is 2688.