Least Common Multiple of 5223/381, 7248/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5223/381, 7248/124 quickly i.e. 12618768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5223/381, 7248/124 is 12618768.

LCM(5223/381, 7248/124) = 12618768

LCM of 5223/381, 7248/124

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 5223/381,7248/124

Given numbers are 5223/381,7248/124

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 5223,7248

Least Common Multiple of Numerators i.e. LCM of 5223,7248 is 12618768.

GCF of Denominators means GCF of 381,124 as per the given fractions.

GCF of 381,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5223,7248

LCM of Fractions 5223/381,7248/124 is 12618768

3 5223, 7248
1741, 2416

∴ So the LCM of the given numbers is 3 x 1741 x 2416 = 12618768

Least Common Multiple of 5223,7248 with GCF Formula

Least Common Multiple of 5223,7248 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 5223,7248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5223,7248) = 3

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

GCF(5223,7248) x common factors =3 x 1 = 3

LCM(5223,7248) = ( 5223 × 7248 ) / 3

LCM(5223,7248) = 37856304 / 3

LCM(5223,7248) = 12618768


Lets's calculate GCF of 381,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12618768/1

Therefore the LCM of Fractions 5223/381,7248/124 is 12618768

Greatest Common Factor of 381,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,124 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 381,124 . The biggest common factor number is the GCF number.
So the greatest common factor 381,124 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5223/381, 7248/124

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 5223/381, 7248/124?

Answer: LCM of Numerators as per given numbers 5223/381, 7248/124 is

LCM of Numerators i.e. for 5223,7248 is 12618768

GCF of denominators i.e. for 381,124 is 1.

Thus, LCM of Fractions is 12618768.Finally, LCM of Fractions for 5223/381, 7248/124 is 12618768.