Least Common Multiple of 73/21, 42/96, 24/32, 39/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/21, 42/96, 24/32, 39/387 quickly i.e. 159432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/21, 42/96, 24/32, 39/387 is 159432.

LCM(73/21, 42/96, 24/32, 39/387) = 159432

LCM of 73/21, 42/96, 24/32, 39/387

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 73/21,42/96,24/32,39/387

Given numbers are 73/21,42/96,24/32,39/387

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 73,42,24,39

Least Common Multiple of Numerators i.e. LCM of 73,42,24,39 is 159432.

GCF of Denominators means GCF of 21,96,32,387 as per the given fractions.

GCF of 21,96,32,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,42,24,39

LCM of Fractions 73/21,42/96,24/32,39/387 is 159432

2 73, 42, 24, 39
3 73, 21, 12, 39
73, 7, 4, 13

∴ So the LCM of the given numbers is 2 x 3 x 73 x 7 x 4 x 13 = 159432

Least Common Multiple of 73,42,24,39 with GCF Formula

Least Common Multiple of 73,42,24,39 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 73,42,24,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,42,24,39) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(73,42,24,39) x common factors =1 x 18 = 18

LCM(73,42,24,39) = ( 73 × 42 × 24 × 39 ) / 18

LCM(73,42,24,39) = 2869776 / 18

LCM(73,42,24,39) = 159432


Lets's calculate GCF of 21,96,32,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159432/1

Therefore the LCM of Fractions 73/21,42/96,24/32,39/387 is 159432

Greatest Common Factor of 21,96,32,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,96,32,387 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 21,96,32,387 . The biggest common factor number is the GCF number.
So the greatest common factor 21,96,32,387 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 73/21, 42/96, 24/32, 39/387

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 73/21, 42/96, 24/32, 39/387?

Answer: LCM of Numerators as per given numbers 73/21, 42/96, 24/32, 39/387 is

LCM of Numerators i.e. for 73,42,24,39 is 159432

GCF of denominators i.e. for 21,96,32,387 is 1.

Thus, LCM of Fractions is 159432.Finally, LCM of Fractions for 73/21, 42/96, 24/32, 39/387 is 159432.