Least Common Multiple of 20/67, 99/36, 72/32, 819/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/67, 99/36, 72/32, 819/23 quickly i.e. 360360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/67, 99/36, 72/32, 819/23 is 360360.

LCM(20/67, 99/36, 72/32, 819/23) = 360360

LCM of 20/67, 99/36, 72/32, 819/23

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 20/67,99/36,72/32,819/23

Given numbers are 20/67,99/36,72/32,819/23

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 20,99,72,819

Least Common Multiple of Numerators i.e. LCM of 20,99,72,819 is 360360.

GCF of Denominators means GCF of 67,36,32,23 as per the given fractions.

GCF of 67,36,32,23 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,99,72,819

LCM of Fractions 20/67,99/36,72/32,819/23 is 360360

2 20, 99, 72, 819
2 10, 99, 36, 819
3 5, 99, 18, 819
3 5, 33, 6, 273
5, 11, 2, 91

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 11 x 2 x 91 = 360360

Least Common Multiple of 20,99,72,819 with GCF Formula

Least Common Multiple of 20,99,72,819 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 20,99,72,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,99,72,819) = 1

common factors(in case of two or more numbers have common factors) = 324

GCF(20,99,72,819) x common factors =1 x 324 = 324

LCM(20,99,72,819) = ( 20 × 99 × 72 × 819 ) / 324

LCM(20,99,72,819) = 116756640 / 324

LCM(20,99,72,819) = 360360


Lets's calculate GCF of 67,36,32,23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360360/1

Therefore the LCM of Fractions 20/67,99/36,72/32,819/23 is 360360

Greatest Common Factor of 67,36,32,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,36,32,23 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 23

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

1,23

Greatest Common Factor

We found the factors 67,36,32,23 . The biggest common factor number is the GCF number.
So the greatest common factor 67,36,32,23 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 20/67, 99/36, 72/32, 819/23

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 20/67, 99/36, 72/32, 819/23?

Answer: LCM of Numerators as per given numbers 20/67, 99/36, 72/32, 819/23 is

LCM of Numerators i.e. for 20,99,72,819 is 360360

GCF of denominators i.e. for 67,36,32,23 is 1.

Thus, LCM of Fractions is 360360.Finally, LCM of Fractions for 20/67, 99/36, 72/32, 819/23 is 360360.