Least Common Multiple of 192/18, 942/15, 327/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 192/18, 942/15, 327/90 quickly i.e. 1095232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/18, 942/15, 327/90 is 1095232.

LCM(192/18, 942/15, 327/90) = 1095232

LCM of 192/18, 942/15, 327/90

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 192/18,942/15,327/90

Given numbers are 192/18,942/15,327/90

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 192,942,327

Least Common Multiple of Numerators i.e. LCM of 192,942,327 is 3285696.

GCF of Denominators means GCF of 18,15,90 as per the given fractions.

GCF of 18,15,90 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,942,327

LCM of Fractions 192/18,942/15,327/90 is 1095232

2 192, 942, 327
3 96, 471, 327
32, 157, 109

∴ So the LCM of the given numbers is 2 x 3 x 32 x 157 x 109 = 3285696

Least Common Multiple of 192,942,327 with GCF Formula

Least Common Multiple of 192,942,327 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 192,942,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,942,327) = 3

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

GCF(192,942,327) x common factors =3 x 6 = 18

LCM(192,942,327) = ( 192 × 942 × 327 ) / 18

LCM(192,942,327) = 59142528 / 18

LCM(192,942,327) = 3285696


Lets's calculate GCF of 18,15,90

3 18, 15, 90
6, 5, 30

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3285696/3

Therefore the LCM of Fractions 192/18,942/15,327/90 is 1095232

Greatest Common Factor of 18,15,90 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,15,90 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 15

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

1,3,5,15

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

Greatest Common Factor

We found the factors 18,15,90 . The biggest common factor number is the GCF number.
So the greatest common factor 18,15,90 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 192/18, 942/15, 327/90

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 192/18, 942/15, 327/90?

Answer: LCM of Numerators as per given numbers 192/18, 942/15, 327/90 is

LCM of Numerators i.e. for 192,942,327 is 3285696

GCF of denominators i.e. for 18,15,90 is 3.

Thus, LCM of Fractions is 1095232.Finally, LCM of Fractions for 192/18, 942/15, 327/90 is 1095232.