Least Common Multiple of 39/75, 47/31, 72/72, 33/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/75, 47/31, 72/72, 33/823 quickly i.e. 483912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/75, 47/31, 72/72, 33/823 is 483912.

LCM(39/75, 47/31, 72/72, 33/823) = 483912

LCM of 39/75, 47/31, 72/72, 33/823

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 39/75,47/31,72/72,33/823

Given numbers are 39/75,47/31,72/72,33/823

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 39,47,72,33

Least Common Multiple of Numerators i.e. LCM of 39,47,72,33 is 483912.

GCF of Denominators means GCF of 75,31,72,823 as per the given fractions.

GCF of 75,31,72,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,47,72,33

LCM of Fractions 39/75,47/31,72/72,33/823 is 483912

3 39, 47, 72, 33
13, 47, 24, 11

∴ So the LCM of the given numbers is 3 x 13 x 47 x 24 x 11 = 483912

Least Common Multiple of 39,47,72,33 with GCF Formula

Least Common Multiple of 39,47,72,33 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 39,47,72,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,47,72,33) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(39,47,72,33) x common factors =1 x 9 = 9

LCM(39,47,72,33) = ( 39 × 47 × 72 × 33 ) / 9

LCM(39,47,72,33) = 4355208 / 9

LCM(39,47,72,33) = 483912


Lets's calculate GCF of 75,31,72,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483912/1

Therefore the LCM of Fractions 39/75,47/31,72/72,33/823 is 483912

Greatest Common Factor of 75,31,72,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,31,72,823 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 75,31,72,823 . The biggest common factor number is the GCF number.
So the greatest common factor 75,31,72,823 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 39/75, 47/31, 72/72, 33/823

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 39/75, 47/31, 72/72, 33/823?

Answer: LCM of Numerators as per given numbers 39/75, 47/31, 72/72, 33/823 is

LCM of Numerators i.e. for 39,47,72,33 is 483912

GCF of denominators i.e. for 75,31,72,823 is 1.

Thus, LCM of Fractions is 483912.Finally, LCM of Fractions for 39/75, 47/31, 72/72, 33/823 is 483912.