Least Common Multiple of 46/45, 33/90, 45/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/45, 33/90, 45/489 quickly i.e. 7590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/45, 33/90, 45/489 is 7590.

LCM(46/45, 33/90, 45/489) = 7590

LCM of 46/45, 33/90, 45/489

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 46/45,33/90,45/489

Given numbers are 46/45,33/90,45/489

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 46,33,45

Least Common Multiple of Numerators i.e. LCM of 46,33,45 is 22770.

GCF of Denominators means GCF of 45,90,489 as per the given fractions.

GCF of 45,90,489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,33,45

LCM of Fractions 46/45,33/90,45/489 is 7590

3 46, 33, 45
46, 11, 15

∴ So the LCM of the given numbers is 3 x 46 x 11 x 15 = 22770

Least Common Multiple of 46,33,45 with GCF Formula

Least Common Multiple of 46,33,45 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 46,33,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,33,45) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(46,33,45) x common factors =1 x 3 = 3

LCM(46,33,45) = ( 46 × 33 × 45 ) / 3

LCM(46,33,45) = 68310 / 3

LCM(46,33,45) = 22770


Lets's calculate GCF of 45,90,489

3 45, 90, 489
15, 30, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22770/3

Therefore the LCM of Fractions 46/45,33/90,45/489 is 7590

Greatest Common Factor of 45,90,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,90,489 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 45,90,489 . The biggest common factor number is the GCF number.
So the greatest common factor 45,90,489 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 46/45, 33/90, 45/489

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 46/45, 33/90, 45/489?

Answer: LCM of Numerators as per given numbers 46/45, 33/90, 45/489 is

LCM of Numerators i.e. for 46,33,45 is 22770

GCF of denominators i.e. for 45,90,489 is 3.

Thus, LCM of Fractions is 7590.Finally, LCM of Fractions for 46/45, 33/90, 45/489 is 7590.