Least Common Multiple of 30/32, 73/18, 59/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/32, 73/18, 59/468 quickly i.e. 64605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/32, 73/18, 59/468 is 64605.

LCM(30/32, 73/18, 59/468) = 64605

LCM of 30/32, 73/18, 59/468

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 30/32,73/18,59/468

Given numbers are 30/32,73/18,59/468

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 30,73,59

Least Common Multiple of Numerators i.e. LCM of 30,73,59 is 129210.

GCF of Denominators means GCF of 32,18,468 as per the given fractions.

GCF of 32,18,468 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,73,59

LCM of Fractions 30/32,73/18,59/468 is 64605

Given numbers has no common factors except 1. So, there LCM is their product i.e 129210

Least Common Multiple of 30,73,59 with GCF Formula

Least Common Multiple of 30,73,59 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 30,73,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,73,59) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(30,73,59) x common factors =1 x 1 = 1

LCM(30,73,59) = ( 30 × 73 × 59 ) / 1

LCM(30,73,59) = 129210 / 1

LCM(30,73,59) = 129210


Lets's calculate GCF of 32,18,468

2 32, 18, 468
16, 9, 234

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129210/2

Therefore the LCM of Fractions 30/32,73/18,59/468 is 64605

Greatest Common Factor of 32,18,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,18,468 By Matching Biggest Common Factor Method

Factors of 32

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

1,2,4,8,16,32

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 32,18,468 . The biggest common factor number is the GCF number.
So the greatest common factor 32,18,468 is 2.


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 30/32, 73/18, 59/468

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 30/32, 73/18, 59/468?

Answer: LCM of Numerators as per given numbers 30/32, 73/18, 59/468 is

LCM of Numerators i.e. for 30,73,59 is 129210

GCF of denominators i.e. for 32,18,468 is 2.

Thus, LCM of Fractions is 64605.Finally, LCM of Fractions for 30/32, 73/18, 59/468 is 64605.