Least Common Multiple of 609/96, 320/32, 173/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/96, 320/32, 173/843 quickly i.e. 33714240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/96, 320/32, 173/843 is 33714240.

LCM(609/96, 320/32, 173/843) = 33714240

LCM of 609/96, 320/32, 173/843

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 609/96,320/32,173/843

Given numbers are 609/96,320/32,173/843

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 609,320,173

Least Common Multiple of Numerators i.e. LCM of 609,320,173 is 33714240.

GCF of Denominators means GCF of 96,32,843 as per the given fractions.

GCF of 96,32,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,320,173

LCM of Fractions 609/96,320/32,173/843 is 33714240

Given numbers has no common factors except 1. So, there LCM is their product i.e 33714240

Least Common Multiple of 609,320,173 with GCF Formula

Least Common Multiple of 609,320,173 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 609,320,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,320,173) = 1

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

GCF(609,320,173) x common factors =1 x 1 = 1

LCM(609,320,173) = ( 609 × 320 × 173 ) / 1

LCM(609,320,173) = 33714240 / 1

LCM(609,320,173) = 33714240


Lets's calculate GCF of 96,32,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33714240/1

Therefore the LCM of Fractions 609/96,320/32,173/843 is 33714240

Greatest Common Factor of 96,32,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,32,843 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 32

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

1,2,4,8,16,32

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 96,32,843 . The biggest common factor number is the GCF number.
So the greatest common factor 96,32,843 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 609/96, 320/32, 173/843

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 609/96, 320/32, 173/843?

Answer: LCM of Numerators as per given numbers 609/96, 320/32, 173/843 is

LCM of Numerators i.e. for 609,320,173 is 33714240

GCF of denominators i.e. for 96,32,843 is 1.

Thus, LCM of Fractions is 33714240.Finally, LCM of Fractions for 609/96, 320/32, 173/843 is 33714240.