Least Common Multiple of 32/44, 22/96, 478/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/44, 22/96, 478/468 quickly i.e. 21032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/44, 22/96, 478/468 is 21032.

LCM(32/44, 22/96, 478/468) = 21032

LCM of 32/44, 22/96, 478/468

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 32/44,22/96,478/468

Given numbers are 32/44,22/96,478/468

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 32,22,478

Least Common Multiple of Numerators i.e. LCM of 32,22,478 is 84128.

GCF of Denominators means GCF of 44,96,468 as per the given fractions.

GCF of 44,96,468 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,22,478

LCM of Fractions 32/44,22/96,478/468 is 21032

2 32, 22, 478
16, 11, 239

∴ So the LCM of the given numbers is 2 x 16 x 11 x 239 = 84128

Least Common Multiple of 32,22,478 with GCF Formula

Least Common Multiple of 32,22,478 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 32,22,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,22,478) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(32,22,478) x common factors =2 x 2 = 4

LCM(32,22,478) = ( 32 × 22 × 478 ) / 4

LCM(32,22,478) = 336512 / 4

LCM(32,22,478) = 84128


Lets's calculate GCF of 44,96,468

2 44, 96, 468
2 22, 48, 234
11, 24, 117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84128/4

Therefore the LCM of Fractions 32/44,22/96,478/468 is 21032

Greatest Common Factor of 44,96,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,96,468 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

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 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 44,96,468 . The biggest common factor number is the GCF number.
So the greatest common factor 44,96,468 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 32/44, 22/96, 478/468

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 32/44, 22/96, 478/468?

Answer: LCM of Numerators as per given numbers 32/44, 22/96, 478/468 is

LCM of Numerators i.e. for 32,22,478 is 84128

GCF of denominators i.e. for 44,96,468 is 4.

Thus, LCM of Fractions is 21032.Finally, LCM of Fractions for 32/44, 22/96, 478/468 is 21032.