Least Common Multiple of 489/17, 138/2292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/17, 138/2292 quickly i.e. 22494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/17, 138/2292 is 22494.

LCM(489/17, 138/2292) = 22494

LCM of 489/17, 138/2292

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 489/17,138/2292

Given numbers are 489/17,138/2292

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 489,138

Least Common Multiple of Numerators i.e. LCM of 489,138 is 22494.

GCF of Denominators means GCF of 17,2292 as per the given fractions.

GCF of 17,2292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,138

LCM of Fractions 489/17,138/2292 is 22494

3 489, 138
163, 46

∴ So the LCM of the given numbers is 3 x 163 x 46 = 22494

Least Common Multiple of 489,138 with GCF Formula

Least Common Multiple of 489,138 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 489,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,138) = 3

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

GCF(489,138) x common factors =3 x 1 = 3

LCM(489,138) = ( 489 × 138 ) / 3

LCM(489,138) = 67482 / 3

LCM(489,138) = 22494


Lets's calculate GCF of 17,2292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22494/1

Therefore the LCM of Fractions 489/17,138/2292 is 22494

Greatest Common Factor of 17,2292 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,2292 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 2292

List of positive integer factors of 2292 that divides 2292 without a remainder.

1,2,3,4,6,12,191,382,573,764,1146,2292

Greatest Common Factor

We found the factors 17,2292 . The biggest common factor number is the GCF number.
So the greatest common factor 17,2292 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 489/17, 138/2292

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 489/17, 138/2292?

Answer: LCM of Numerators as per given numbers 489/17, 138/2292 is

LCM of Numerators i.e. for 489,138 is 22494

GCF of denominators i.e. for 17,2292 is 1.

Thus, LCM of Fractions is 22494.Finally, LCM of Fractions for 489/17, 138/2292 is 22494.