Least Common Multiple of 38/53, 33/13, 104/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/53, 33/13, 104/484 quickly i.e. 65208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/53, 33/13, 104/484 is 65208.

LCM(38/53, 33/13, 104/484) = 65208

LCM of 38/53, 33/13, 104/484

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 38/53,33/13,104/484

Given numbers are 38/53,33/13,104/484

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 38,33,104

Least Common Multiple of Numerators i.e. LCM of 38,33,104 is 65208.

GCF of Denominators means GCF of 53,13,484 as per the given fractions.

GCF of 53,13,484 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,33,104

LCM of Fractions 38/53,33/13,104/484 is 65208

2 38, 33, 104
19, 33, 52

∴ So the LCM of the given numbers is 2 x 19 x 33 x 52 = 65208

Least Common Multiple of 38,33,104 with GCF Formula

Least Common Multiple of 38,33,104 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 38,33,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,33,104) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,33,104) x common factors =1 x 2 = 2

LCM(38,33,104) = ( 38 × 33 × 104 ) / 2

LCM(38,33,104) = 130416 / 2

LCM(38,33,104) = 65208


Lets's calculate GCF of 53,13,484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65208/1

Therefore the LCM of Fractions 38/53,33/13,104/484 is 65208

Greatest Common Factor of 53,13,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,13,484 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 53,13,484 . The biggest common factor number is the GCF number.
So the greatest common factor 53,13,484 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 38/53, 33/13, 104/484

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 38/53, 33/13, 104/484?

Answer: LCM of Numerators as per given numbers 38/53, 33/13, 104/484 is

LCM of Numerators i.e. for 38,33,104 is 65208

GCF of denominators i.e. for 53,13,484 is 1.

Thus, LCM of Fractions is 65208.Finally, LCM of Fractions for 38/53, 33/13, 104/484 is 65208.