Least Common Multiple of 192/96, 733/1189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 192/96, 733/1189 quickly i.e. 140736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/96, 733/1189 is 140736.

LCM(192/96, 733/1189) = 140736

LCM of 192/96, 733/1189

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 192/96,733/1189

Given numbers are 192/96,733/1189

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 192,733

Least Common Multiple of Numerators i.e. LCM of 192,733 is 140736.

GCF of Denominators means GCF of 96,1189 as per the given fractions.

GCF of 96,1189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,733

LCM of Fractions 192/96,733/1189 is 140736

Given numbers has no common factors except 1. So, there LCM is their product i.e 140736

Least Common Multiple of 192,733 with GCF Formula

Least Common Multiple of 192,733 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 192,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,733) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(192,733) x common factors =1 x 1 = 1

LCM(192,733) = ( 192 × 733 ) / 1

LCM(192,733) = 140736 / 1

LCM(192,733) = 140736


Lets's calculate GCF of 96,1189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140736/1

Therefore the LCM of Fractions 192/96,733/1189 is 140736

Greatest Common Factor of 96,1189 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,1189 By Matching Biggest Common Factor Method

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 1189

List of positive integer factors of 1189 that divides 1189 without a remainder.

1,29,41,1189

Greatest Common Factor

We found the factors 96,1189 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1189 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 192/96, 733/1189

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 192/96, 733/1189?

Answer: LCM of Numerators as per given numbers 192/96, 733/1189 is

LCM of Numerators i.e. for 192,733 is 140736

GCF of denominators i.e. for 96,1189 is 1.

Thus, LCM of Fractions is 140736.Finally, LCM of Fractions for 192/96, 733/1189 is 140736.