Least Common Multiple of 489/34, 408/5262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/34, 408/5262 quickly i.e. 33252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/34, 408/5262 is 33252.

LCM(489/34, 408/5262) = 33252

LCM of 489/34, 408/5262

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 489/34,408/5262

Given numbers are 489/34,408/5262

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 489,408

Least Common Multiple of Numerators i.e. LCM of 489,408 is 66504.

GCF of Denominators means GCF of 34,5262 as per the given fractions.

GCF of 34,5262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,408

LCM of Fractions 489/34,408/5262 is 33252

3 489, 408
163, 136

∴ So the LCM of the given numbers is 3 x 163 x 136 = 66504

Least Common Multiple of 489,408 with GCF Formula

Least Common Multiple of 489,408 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 489,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,408) = 3

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

GCF(489,408) x common factors =3 x 1 = 3

LCM(489,408) = ( 489 × 408 ) / 3

LCM(489,408) = 199512 / 3

LCM(489,408) = 66504


Lets's calculate GCF of 34,5262

2 34, 5262
17, 2631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66504/2

Therefore the LCM of Fractions 489/34,408/5262 is 33252

Greatest Common Factor of 34,5262 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,5262 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 5262

List of positive integer factors of 5262 that divides 5262 without a remainder.

1,2,3,6,877,1754,2631,5262

Greatest Common Factor

We found the factors 34,5262 . The biggest common factor number is the GCF number.
So the greatest common factor 34,5262 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 489/34, 408/5262

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 489/34, 408/5262?

Answer: LCM of Numerators as per given numbers 489/34, 408/5262 is

LCM of Numerators i.e. for 489,408 is 66504

GCF of denominators i.e. for 34,5262 is 2.

Thus, LCM of Fractions is 33252.Finally, LCM of Fractions for 489/34, 408/5262 is 33252.