Least Common Multiple of 384/82, 660/38, 711/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/82, 660/38, 711/609 quickly i.e. 5005440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/82, 660/38, 711/609 is 5005440.

LCM(384/82, 660/38, 711/609) = 5005440

LCM of 384/82, 660/38, 711/609

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 384/82,660/38,711/609

Given numbers are 384/82,660/38,711/609

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 384,660,711

Least Common Multiple of Numerators i.e. LCM of 384,660,711 is 5005440.

GCF of Denominators means GCF of 82,38,609 as per the given fractions.

GCF of 82,38,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,660,711

LCM of Fractions 384/82,660/38,711/609 is 5005440

2 384, 660, 711
2 192, 330, 711
3 96, 165, 711
32, 55, 237

∴ So the LCM of the given numbers is 2 x 2 x 3 x 32 x 55 x 237 = 5005440

Least Common Multiple of 384,660,711 with GCF Formula

Least Common Multiple of 384,660,711 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 384,660,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,660,711) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(384,660,711) x common factors =3 x 12 = 36

LCM(384,660,711) = ( 384 × 660 × 711 ) / 36

LCM(384,660,711) = 180195840 / 36

LCM(384,660,711) = 5005440


Lets's calculate GCF of 82,38,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5005440/1

Therefore the LCM of Fractions 384/82,660/38,711/609 is 5005440

Greatest Common Factor of 82,38,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,38,609 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 82,38,609 . The biggest common factor number is the GCF number.
So the greatest common factor 82,38,609 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 384/82, 660/38, 711/609

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 384/82, 660/38, 711/609?

Answer: LCM of Numerators as per given numbers 384/82, 660/38, 711/609 is

LCM of Numerators i.e. for 384,660,711 is 5005440

GCF of denominators i.e. for 82,38,609 is 1.

Thus, LCM of Fractions is 5005440.Finally, LCM of Fractions for 384/82, 660/38, 711/609 is 5005440.