Least Common Multiple of 184/42, 538/2463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 184/42, 538/2463 quickly i.e. 49496/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 184/42, 538/2463 is 49496/3.

LCM(184/42, 538/2463) = 49496/3

LCM of 184/42, 538/2463

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 184/42,538/2463

Given numbers are 184/42,538/2463

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 184,538

Least Common Multiple of Numerators i.e. LCM of 184,538 is 49496.

GCF of Denominators means GCF of 42,2463 as per the given fractions.

GCF of 42,2463 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 184,538

LCM of Fractions 184/42,538/2463 is 49496/3

2 184, 538
92, 269

∴ So the LCM of the given numbers is 2 x 92 x 269 = 49496

Least Common Multiple of 184,538 with GCF Formula

Least Common Multiple of 184,538 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 184,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,538) = 2

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

GCF(184,538) x common factors =2 x 1 = 2

LCM(184,538) = ( 184 × 538 ) / 2

LCM(184,538) = 98992 / 2

LCM(184,538) = 49496


Lets's calculate GCF of 42,2463

3 42, 2463
14, 821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49496/3

Therefore the LCM of Fractions 184/42,538/2463 is 49496/3

Greatest Common Factor of 42,2463 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,2463 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 2463

List of positive integer factors of 2463 that divides 2463 without a remainder.

1,3,821,2463

Greatest Common Factor

We found the factors 42,2463 . The biggest common factor number is the GCF number.
So the greatest common factor 42,2463 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 184/42, 538/2463

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 184/42, 538/2463?

Answer: LCM of Numerators as per given numbers 184/42, 538/2463 is

LCM of Numerators i.e. for 184,538 is 49496

GCF of denominators i.e. for 42,2463 is 3.

Thus, LCM of Fractions is 49496/3.Finally, LCM of Fractions for 184/42, 538/2463 is 49496/3.