Least Common Multiple of 16/45, 71/18, 46/30, 57/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/45, 71/18, 46/30, 57/75 quickly i.e. 496432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/45, 71/18, 46/30, 57/75 is 496432.

LCM(16/45, 71/18, 46/30, 57/75) = 496432

LCM of 16/45, 71/18, 46/30, 57/75

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 16/45,71/18,46/30,57/75

Given numbers are 16/45,71/18,46/30,57/75

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 16,71,46,57

Least Common Multiple of Numerators i.e. LCM of 16,71,46,57 is 1489296.

GCF of Denominators means GCF of 45,18,30,75 as per the given fractions.

GCF of 45,18,30,75 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,71,46,57

LCM of Fractions 16/45,71/18,46/30,57/75 is 496432

2 16, 71, 46, 57
8, 71, 23, 57

∴ So the LCM of the given numbers is 2 x 8 x 71 x 23 x 57 = 1489296

Least Common Multiple of 16,71,46,57 with GCF Formula

Least Common Multiple of 16,71,46,57 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 16,71,46,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,71,46,57) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,71,46,57) x common factors =1 x 2 = 2

LCM(16,71,46,57) = ( 16 × 71 × 46 × 57 ) / 2

LCM(16,71,46,57) = 2978592 / 2

LCM(16,71,46,57) = 1489296


Lets's calculate GCF of 45,18,30,75

3 45, 18, 30, 75
15, 6, 10, 25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1489296/3

Therefore the LCM of Fractions 16/45,71/18,46/30,57/75 is 496432

Greatest Common Factor of 45,18,30,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,18,30,75 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 18

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

1,2,3,6,9,18

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 75

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

1,3,5,15,25,75

Greatest Common Factor

We found the factors 45,18,30,75 . The biggest common factor number is the GCF number.
So the greatest common factor 45,18,30,75 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 16/45, 71/18, 46/30, 57/75

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 16/45, 71/18, 46/30, 57/75?

Answer: LCM of Numerators as per given numbers 16/45, 71/18, 46/30, 57/75 is

LCM of Numerators i.e. for 16,71,46,57 is 1489296

GCF of denominators i.e. for 45,18,30,75 is 3.

Thus, LCM of Fractions is 496432.Finally, LCM of Fractions for 16/45, 71/18, 46/30, 57/75 is 496432.