Least Common Multiple of 30/368, 66/595, 187/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/368, 66/595, 187/192 quickly i.e. 5610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/368, 66/595, 187/192 is 5610.

LCM(30/368, 66/595, 187/192) = 5610

LCM of 30/368, 66/595, 187/192

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 30/368,66/595,187/192

Given numbers are 30/368,66/595,187/192

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 30,66,187

Least Common Multiple of Numerators i.e. LCM of 30,66,187 is 5610.

GCF of Denominators means GCF of 368,595,192 as per the given fractions.

GCF of 368,595,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,66,187

LCM of Fractions 30/368,66/595,187/192 is 5610

2 30, 66, 187
3 15, 33, 187
11 5, 11, 187
5, 1, 17

∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 1 x 17 = 5610

Least Common Multiple of 30,66,187 with GCF Formula

Least Common Multiple of 30,66,187 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 30,66,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,66,187) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(30,66,187) x common factors =1 x 66 = 66

LCM(30,66,187) = ( 30 × 66 × 187 ) / 66

LCM(30,66,187) = 370260 / 66

LCM(30,66,187) = 5610


Lets's calculate GCF of 368,595,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5610/1

Therefore the LCM of Fractions 30/368,66/595,187/192 is 5610

Greatest Common Factor of 368,595,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,595,192 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 368,595,192 . The biggest common factor number is the GCF number.
So the greatest common factor 368,595,192 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 30/368, 66/595, 187/192

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 30/368, 66/595, 187/192?

Answer: LCM of Numerators as per given numbers 30/368, 66/595, 187/192 is

LCM of Numerators i.e. for 30,66,187 is 5610

GCF of denominators i.e. for 368,595,192 is 1.

Thus, LCM of Fractions is 5610.Finally, LCM of Fractions for 30/368, 66/595, 187/192 is 5610.