Least Common Multiple of 600/231, 3789/4784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/231, 3789/4784 quickly i.e. 757800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/231, 3789/4784 is 757800.

LCM(600/231, 3789/4784) = 757800

LCM of 600/231, 3789/4784

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 600/231,3789/4784

Given numbers are 600/231,3789/4784

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 600,3789

Least Common Multiple of Numerators i.e. LCM of 600,3789 is 757800.

GCF of Denominators means GCF of 231,4784 as per the given fractions.

GCF of 231,4784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,3789

LCM of Fractions 600/231,3789/4784 is 757800

3 600, 3789
200, 1263

∴ So the LCM of the given numbers is 3 x 200 x 1263 = 757800

Least Common Multiple of 600,3789 with GCF Formula

Least Common Multiple of 600,3789 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 600,3789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,3789) = 3

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

GCF(600,3789) x common factors =3 x 1 = 3

LCM(600,3789) = ( 600 × 3789 ) / 3

LCM(600,3789) = 2273400 / 3

LCM(600,3789) = 757800


Lets's calculate GCF of 231,4784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 757800/1

Therefore the LCM of Fractions 600/231,3789/4784 is 757800

Greatest Common Factor of 231,4784 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,4784 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 4784

List of positive integer factors of 4784 that divides 4784 without a remainder.

1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784

Greatest Common Factor

We found the factors 231,4784 . The biggest common factor number is the GCF number.
So the greatest common factor 231,4784 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 600/231, 3789/4784

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 600/231, 3789/4784?

Answer: LCM of Numerators as per given numbers 600/231, 3789/4784 is

LCM of Numerators i.e. for 600,3789 is 757800

GCF of denominators i.e. for 231,4784 is 1.

Thus, LCM of Fractions is 757800.Finally, LCM of Fractions for 600/231, 3789/4784 is 757800.