Least Common Multiple of 18/32, 14/80, 28/84, 54/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/32, 14/80, 28/84, 54/460 quickly i.e. 189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/32, 14/80, 28/84, 54/460 is 189.

LCM(18/32, 14/80, 28/84, 54/460) = 189

LCM of 18/32, 14/80, 28/84, 54/460

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 18/32,14/80,28/84,54/460

Given numbers are 18/32,14/80,28/84,54/460

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 18,14,28,54

Least Common Multiple of Numerators i.e. LCM of 18,14,28,54 is 756.

GCF of Denominators means GCF of 32,80,84,460 as per the given fractions.

GCF of 32,80,84,460 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,14,28,54

LCM of Fractions 18/32,14/80,28/84,54/460 is 189

2 18, 14, 28, 54
3 9, 7, 14, 27
3 3, 7, 14, 9
7 1, 7, 14, 3
1, 1, 2, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 1 x 1 x 2 x 3 = 756

Least Common Multiple of 18,14,28,54 with GCF Formula

Least Common Multiple of 18,14,28,54 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 18,14,28,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,14,28,54) = 2

common factors(in case of two or more numbers have common factors) = 252

GCF(18,14,28,54) x common factors =2 x 252 = 504

LCM(18,14,28,54) = ( 18 × 14 × 28 × 54 ) / 504

LCM(18,14,28,54) = 381024 / 504

LCM(18,14,28,54) = 756


Lets's calculate GCF of 32,80,84,460

2 32, 80, 84, 460
2 16, 40, 42, 230
8, 20, 21, 115

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 756/4

Therefore the LCM of Fractions 18/32,14/80,28/84,54/460 is 189

Greatest Common Factor of 32,80,84,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,80,84,460 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 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 32,80,84,460 . The biggest common factor number is the GCF number.
So the greatest common factor 32,80,84,460 is 4.


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 18/32, 14/80, 28/84, 54/460

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 18/32, 14/80, 28/84, 54/460?

Answer: LCM of Numerators as per given numbers 18/32, 14/80, 28/84, 54/460 is

LCM of Numerators i.e. for 18,14,28,54 is 756

GCF of denominators i.e. for 32,80,84,460 is 4.

Thus, LCM of Fractions is 189.Finally, LCM of Fractions for 18/32, 14/80, 28/84, 54/460 is 189.