Least Common Multiple of 33/23, 38/477, 502/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/23, 38/477, 502/734 quickly i.e. 314754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/23, 38/477, 502/734 is 314754.

LCM(33/23, 38/477, 502/734) = 314754

LCM of 33/23, 38/477, 502/734

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 33/23,38/477,502/734

Given numbers are 33/23,38/477,502/734

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 33,38,502

Least Common Multiple of Numerators i.e. LCM of 33,38,502 is 314754.

GCF of Denominators means GCF of 23,477,734 as per the given fractions.

GCF of 23,477,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,38,502

LCM of Fractions 33/23,38/477,502/734 is 314754

2 33, 38, 502
33, 19, 251

∴ So the LCM of the given numbers is 2 x 33 x 19 x 251 = 314754

Least Common Multiple of 33,38,502 with GCF Formula

Least Common Multiple of 33,38,502 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 33,38,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,38,502) = 1

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

GCF(33,38,502) x common factors =1 x 2 = 2

LCM(33,38,502) = ( 33 × 38 × 502 ) / 2

LCM(33,38,502) = 629508 / 2

LCM(33,38,502) = 314754


Lets's calculate GCF of 23,477,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314754/1

Therefore the LCM of Fractions 33/23,38/477,502/734 is 314754

Greatest Common Factor of 23,477,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,477,734 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 23,477,734 . The biggest common factor number is the GCF number.
So the greatest common factor 23,477,734 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 33/23, 38/477, 502/734

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 33/23, 38/477, 502/734?

Answer: LCM of Numerators as per given numbers 33/23, 38/477, 502/734 is

LCM of Numerators i.e. for 33,38,502 is 314754

GCF of denominators i.e. for 23,477,734 is 1.

Thus, LCM of Fractions is 314754.Finally, LCM of Fractions for 33/23, 38/477, 502/734 is 314754.