Least Common Multiple of 184/16, 546/1744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 184/16, 546/1744 quickly i.e. 50232/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 184/16, 546/1744 is 50232/16.

LCM(184/16, 546/1744) = 50232/16

LCM of 184/16, 546/1744

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 184/16,546/1744

Given numbers are 184/16,546/1744

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 184,546

Least Common Multiple of Numerators i.e. LCM of 184,546 is 50232.

GCF of Denominators means GCF of 16,1744 as per the given fractions.

GCF of 16,1744 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 184,546

LCM of Fractions 184/16,546/1744 is 50232/16

2 184, 546
92, 273

∴ So the LCM of the given numbers is 2 x 92 x 273 = 50232

Least Common Multiple of 184,546 with GCF Formula

Least Common Multiple of 184,546 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 184,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,546) = 2

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

GCF(184,546) x common factors =2 x 1 = 2

LCM(184,546) = ( 184 × 546 ) / 2

LCM(184,546) = 100464 / 2

LCM(184,546) = 50232


Lets's calculate GCF of 16,1744

2 16, 1744
2 8, 872
2 4, 436
2 2, 218
1, 109

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50232/16

Therefore the LCM of Fractions 184/16,546/1744 is 50232/16

Greatest Common Factor of 16,1744 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1744 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1,2,4,8,16,109,218,436,872,1744

Greatest Common Factor

We found the factors 16,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1744 is 16.


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 184/16, 546/1744

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 184/16, 546/1744?

Answer: LCM of Numerators as per given numbers 184/16, 546/1744 is

LCM of Numerators i.e. for 184,546 is 50232

GCF of denominators i.e. for 16,1744 is 16.

Thus, LCM of Fractions is 50232/16.Finally, LCM of Fractions for 184/16, 546/1744 is 50232/16.