Least Common Multiple of 384/411, 3827/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/411, 3827/306 quickly i.e. 489856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/411, 3827/306 is 489856.

LCM(384/411, 3827/306) = 489856

LCM of 384/411, 3827/306

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 384/411,3827/306

Given numbers are 384/411,3827/306

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 384,3827

Least Common Multiple of Numerators i.e. LCM of 384,3827 is 1469568.

GCF of Denominators means GCF of 411,306 as per the given fractions.

GCF of 411,306 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,3827

LCM of Fractions 384/411,3827/306 is 489856

Given numbers has no common factors except 1. So, there LCM is their product i.e 1469568

Least Common Multiple of 384,3827 with GCF Formula

Least Common Multiple of 384,3827 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 384,3827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,3827) = 1

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

GCF(384,3827) x common factors =1 x 1 = 1

LCM(384,3827) = ( 384 × 3827 ) / 1

LCM(384,3827) = 1469568 / 1

LCM(384,3827) = 1469568


Lets's calculate GCF of 411,306

3 411, 306
137, 102

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1469568/3

Therefore the LCM of Fractions 384/411,3827/306 is 489856

Greatest Common Factor of 411,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,306 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 411,306 . The biggest common factor number is the GCF number.
So the greatest common factor 411,306 is 3.


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 384/411, 3827/306

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 384/411, 3827/306?

Answer: LCM of Numerators as per given numbers 384/411, 3827/306 is

LCM of Numerators i.e. for 384,3827 is 1469568

GCF of denominators i.e. for 411,306 is 3.

Thus, LCM of Fractions is 489856.Finally, LCM of Fractions for 384/411, 3827/306 is 489856.