Least Common Multiple of 483/34, 392/6882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 483/34, 392/6882 quickly i.e. 13524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 483/34, 392/6882 is 13524.

LCM(483/34, 392/6882) = 13524

LCM of 483/34, 392/6882

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 483/34,392/6882

Given numbers are 483/34,392/6882

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 483,392

Least Common Multiple of Numerators i.e. LCM of 483,392 is 27048.

GCF of Denominators means GCF of 34,6882 as per the given fractions.

GCF of 34,6882 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 483,392

LCM of Fractions 483/34,392/6882 is 13524

7 483, 392
69, 56

∴ So the LCM of the given numbers is 7 x 69 x 56 = 27048

Least Common Multiple of 483,392 with GCF Formula

Least Common Multiple of 483,392 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 483,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,392) = 7

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

GCF(483,392) x common factors =7 x 1 = 7

LCM(483,392) = ( 483 × 392 ) / 7

LCM(483,392) = 189336 / 7

LCM(483,392) = 27048


Lets's calculate GCF of 34,6882

2 34, 6882
17, 3441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27048/2

Therefore the LCM of Fractions 483/34,392/6882 is 13524

Greatest Common Factor of 34,6882 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,6882 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 6882

List of positive integer factors of 6882 that divides 6882 without a remainder.

1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882

Greatest Common Factor

We found the factors 34,6882 . The biggest common factor number is the GCF number.
So the greatest common factor 34,6882 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 483/34, 392/6882

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 483/34, 392/6882?

Answer: LCM of Numerators as per given numbers 483/34, 392/6882 is

LCM of Numerators i.e. for 483,392 is 27048

GCF of denominators i.e. for 34,6882 is 2.

Thus, LCM of Fractions is 13524.Finally, LCM of Fractions for 483/34, 392/6882 is 13524.