Least Common Multiple of 450/96, 338/32, 489/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/96, 338/32, 489/132 quickly i.e. 12396150/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/96, 338/32, 489/132 is 12396150/4.

LCM(450/96, 338/32, 489/132) = 12396150/4

LCM of 450/96, 338/32, 489/132

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 450/96,338/32,489/132

Given numbers are 450/96,338/32,489/132

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 450,338,489

Least Common Multiple of Numerators i.e. LCM of 450,338,489 is 12396150.

GCF of Denominators means GCF of 96,32,132 as per the given fractions.

GCF of 96,32,132 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,338,489

LCM of Fractions 450/96,338/32,489/132 is 12396150/4

2 450, 338, 489
3 225, 169, 489
75, 169, 163

∴ So the LCM of the given numbers is 2 x 3 x 75 x 169 x 163 = 12396150

Least Common Multiple of 450,338,489 with GCF Formula

Least Common Multiple of 450,338,489 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 450,338,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,338,489) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(450,338,489) x common factors =1 x 6 = 6

LCM(450,338,489) = ( 450 × 338 × 489 ) / 6

LCM(450,338,489) = 74376900 / 6

LCM(450,338,489) = 12396150


Lets's calculate GCF of 96,32,132

2 96, 32, 132
2 48, 16, 66
24, 8, 33

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12396150/4

Therefore the LCM of Fractions 450/96,338/32,489/132 is 12396150/4

Greatest Common Factor of 96,32,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,32,132 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 96,32,132 . The biggest common factor number is the GCF number.
So the greatest common factor 96,32,132 is 4.


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 450/96, 338/32, 489/132

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 450/96, 338/32, 489/132?

Answer: LCM of Numerators as per given numbers 450/96, 338/32, 489/132 is

LCM of Numerators i.e. for 450,338,489 is 12396150

GCF of denominators i.e. for 96,32,132 is 4.

Thus, LCM of Fractions is 12396150/4.Finally, LCM of Fractions for 450/96, 338/32, 489/132 is 12396150/4.