Least Common Multiple of 20/72, 596/33, 882/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/72, 596/33, 882/483 quickly i.e. 438060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/72, 596/33, 882/483 is 438060.

LCM(20/72, 596/33, 882/483) = 438060

LCM of 20/72, 596/33, 882/483

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 20/72,596/33,882/483

Given numbers are 20/72,596/33,882/483

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 20,596,882

Least Common Multiple of Numerators i.e. LCM of 20,596,882 is 1314180.

GCF of Denominators means GCF of 72,33,483 as per the given fractions.

GCF of 72,33,483 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,596,882

LCM of Fractions 20/72,596/33,882/483 is 438060

2 20, 596, 882
2 10, 298, 441
5, 149, 441

∴ So the LCM of the given numbers is 2 x 2 x 5 x 149 x 441 = 1314180

Least Common Multiple of 20,596,882 with GCF Formula

Least Common Multiple of 20,596,882 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 20,596,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,596,882) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(20,596,882) x common factors =2 x 4 = 8

LCM(20,596,882) = ( 20 × 596 × 882 ) / 8

LCM(20,596,882) = 10513440 / 8

LCM(20,596,882) = 1314180


Lets's calculate GCF of 72,33,483

3 72, 33, 483
24, 11, 161

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1314180/3

Therefore the LCM of Fractions 20/72,596/33,882/483 is 438060

Greatest Common Factor of 72,33,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,33,483 By Matching Biggest Common Factor Method

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 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 72,33,483 . The biggest common factor number is the GCF number.
So the greatest common factor 72,33,483 is 3.


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 20/72, 596/33, 882/483

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 20/72, 596/33, 882/483?

Answer: LCM of Numerators as per given numbers 20/72, 596/33, 882/483 is

LCM of Numerators i.e. for 20,596,882 is 1314180

GCF of denominators i.e. for 72,33,483 is 3.

Thus, LCM of Fractions is 438060.Finally, LCM of Fractions for 20/72, 596/33, 882/483 is 438060.