Least Common Multiple of 32/15, 28/32, 21/81, 48/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/15, 28/32, 21/81, 48/304 quickly i.e. 672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/15, 28/32, 21/81, 48/304 is 672.

LCM(32/15, 28/32, 21/81, 48/304) = 672

LCM of 32/15, 28/32, 21/81, 48/304

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 32/15,28/32,21/81,48/304

Given numbers are 32/15,28/32,21/81,48/304

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 32,28,21,48

Least Common Multiple of Numerators i.e. LCM of 32,28,21,48 is 672.

GCF of Denominators means GCF of 15,32,81,304 as per the given fractions.

GCF of 15,32,81,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,28,21,48

LCM of Fractions 32/15,28/32,21/81,48/304 is 672

2 32, 28, 21, 48
2 16, 14, 21, 24
2 8, 7, 21, 12
2 4, 7, 21, 6
3 2, 7, 21, 3
7 2, 7, 7, 1
2, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 2 x 1 x 1 x 1 = 672

Least Common Multiple of 32,28,21,48 with GCF Formula

Least Common Multiple of 32,28,21,48 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 32,28,21,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,28,21,48) = 1

common factors(in case of two or more numbers have common factors) = 1344

GCF(32,28,21,48) x common factors =1 x 1344 = 1344

LCM(32,28,21,48) = ( 32 × 28 × 21 × 48 ) / 1344

LCM(32,28,21,48) = 903168 / 1344

LCM(32,28,21,48) = 672


Lets's calculate GCF of 15,32,81,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672/1

Therefore the LCM of Fractions 32/15,28/32,21/81,48/304 is 672

Greatest Common Factor of 15,32,81,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,32,81,304 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 32

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

1,2,4,8,16,32

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 15,32,81,304 . The biggest common factor number is the GCF number.
So the greatest common factor 15,32,81,304 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 32/15, 28/32, 21/81, 48/304

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 32/15, 28/32, 21/81, 48/304?

Answer: LCM of Numerators as per given numbers 32/15, 28/32, 21/81, 48/304 is

LCM of Numerators i.e. for 32,28,21,48 is 672

GCF of denominators i.e. for 15,32,81,304 is 1.

Thus, LCM of Fractions is 672.Finally, LCM of Fractions for 32/15, 28/32, 21/81, 48/304 is 672.