Least Common Multiple of 184/992, 1166/7305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 184/992, 1166/7305 quickly i.e. 107272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 184/992, 1166/7305 is 107272.

LCM(184/992, 1166/7305) = 107272

LCM of 184/992, 1166/7305

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 184/992,1166/7305

Given numbers are 184/992,1166/7305

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 184,1166

Least Common Multiple of Numerators i.e. LCM of 184,1166 is 107272.

GCF of Denominators means GCF of 992,7305 as per the given fractions.

GCF of 992,7305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 184,1166

LCM of Fractions 184/992,1166/7305 is 107272

2 184, 1166
92, 583

∴ So the LCM of the given numbers is 2 x 92 x 583 = 107272

Least Common Multiple of 184,1166 with GCF Formula

Least Common Multiple of 184,1166 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 184,1166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,1166) = 2

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

GCF(184,1166) x common factors =2 x 1 = 2

LCM(184,1166) = ( 184 × 1166 ) / 2

LCM(184,1166) = 214544 / 2

LCM(184,1166) = 107272


Lets's calculate GCF of 992,7305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107272/1

Therefore the LCM of Fractions 184/992,1166/7305 is 107272

Greatest Common Factor of 992,7305 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,7305 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 7305

List of positive integer factors of 7305 that divides 7305 without a remainder.

1,3,5,15,487,1461,2435,7305

Greatest Common Factor

We found the factors 992,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 992,7305 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 184/992, 1166/7305

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 184/992, 1166/7305?

Answer: LCM of Numerators as per given numbers 184/992, 1166/7305 is

LCM of Numerators i.e. for 184,1166 is 107272

GCF of denominators i.e. for 992,7305 is 1.

Thus, LCM of Fractions is 107272.Finally, LCM of Fractions for 184/992, 1166/7305 is 107272.