Least Common Multiple of 16/40, 42/73, 609/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/40, 42/73, 609/633 quickly i.e. 9744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/40, 42/73, 609/633 is 9744.

LCM(16/40, 42/73, 609/633) = 9744

LCM of 16/40, 42/73, 609/633

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 16/40,42/73,609/633

Given numbers are 16/40,42/73,609/633

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 16,42,609

Least Common Multiple of Numerators i.e. LCM of 16,42,609 is 9744.

GCF of Denominators means GCF of 40,73,633 as per the given fractions.

GCF of 40,73,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,42,609

LCM of Fractions 16/40,42/73,609/633 is 9744

2 16, 42, 609
3 8, 21, 609
7 8, 7, 203
8, 1, 29

∴ So the LCM of the given numbers is 2 x 3 x 7 x 8 x 1 x 29 = 9744

Least Common Multiple of 16,42,609 with GCF Formula

Least Common Multiple of 16,42,609 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 16,42,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,42,609) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(16,42,609) x common factors =1 x 42 = 42

LCM(16,42,609) = ( 16 × 42 × 609 ) / 42

LCM(16,42,609) = 409248 / 42

LCM(16,42,609) = 9744


Lets's calculate GCF of 40,73,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9744/1

Therefore the LCM of Fractions 16/40,42/73,609/633 is 9744

Greatest Common Factor of 40,73,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,73,633 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 40,73,633 . The biggest common factor number is the GCF number.
So the greatest common factor 40,73,633 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 16/40, 42/73, 609/633

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 16/40, 42/73, 609/633?

Answer: LCM of Numerators as per given numbers 16/40, 42/73, 609/633 is

LCM of Numerators i.e. for 16,42,609 is 9744

GCF of denominators i.e. for 40,73,633 is 1.

Thus, LCM of Fractions is 9744.Finally, LCM of Fractions for 16/40, 42/73, 609/633 is 9744.