Least Common Multiple of 72/538, 5341/3844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/538, 5341/3844 quickly i.e. 192276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/538, 5341/3844 is 192276.

LCM(72/538, 5341/3844) = 192276

LCM of 72/538, 5341/3844

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 72/538,5341/3844

Given numbers are 72/538,5341/3844

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 72,5341

Least Common Multiple of Numerators i.e. LCM of 72,5341 is 384552.

GCF of Denominators means GCF of 538,3844 as per the given fractions.

GCF of 538,3844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,5341

LCM of Fractions 72/538,5341/3844 is 192276

Given numbers has no common factors except 1. So, there LCM is their product i.e 384552

Least Common Multiple of 72,5341 with GCF Formula

Least Common Multiple of 72,5341 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 72,5341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,5341) = 1

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

GCF(72,5341) x common factors =1 x 1 = 1

LCM(72,5341) = ( 72 × 5341 ) / 1

LCM(72,5341) = 384552 / 1

LCM(72,5341) = 384552


Lets's calculate GCF of 538,3844

2 538, 3844
269, 1922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384552/2

Therefore the LCM of Fractions 72/538,5341/3844 is 192276

Greatest Common Factor of 538,3844 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,3844 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 3844

List of positive integer factors of 3844 that divides 3844 without a remainder.

1,2,4,31,62,124,961,1922,3844

Greatest Common Factor

We found the factors 538,3844 . The biggest common factor number is the GCF number.
So the greatest common factor 538,3844 is 2.


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 72/538, 5341/3844

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 72/538, 5341/3844?

Answer: LCM of Numerators as per given numbers 72/538, 5341/3844 is

LCM of Numerators i.e. for 72,5341 is 384552

GCF of denominators i.e. for 538,3844 is 2.

Thus, LCM of Fractions is 192276.Finally, LCM of Fractions for 72/538, 5341/3844 is 192276.