Least Common Multiple of 984/174, 333/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/174, 333/360 quickly i.e. 18204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/174, 333/360 is 18204.

LCM(984/174, 333/360) = 18204

LCM of 984/174, 333/360

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 984/174,333/360

Given numbers are 984/174,333/360

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 984,333

Least Common Multiple of Numerators i.e. LCM of 984,333 is 109224.

GCF of Denominators means GCF of 174,360 as per the given fractions.

GCF of 174,360 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,333

LCM of Fractions 984/174,333/360 is 18204

3 984, 333
328, 111

∴ So the LCM of the given numbers is 3 x 328 x 111 = 109224

Least Common Multiple of 984,333 with GCF Formula

Least Common Multiple of 984,333 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 984,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,333) = 3

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

GCF(984,333) x common factors =3 x 1 = 3

LCM(984,333) = ( 984 × 333 ) / 3

LCM(984,333) = 327672 / 3

LCM(984,333) = 109224


Lets's calculate GCF of 174,360

2 174, 360
3 87, 180
29, 60

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109224/6

Therefore the LCM of Fractions 984/174,333/360 is 18204

Greatest Common Factor of 174,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,360 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 174,360 . The biggest common factor number is the GCF number.
So the greatest common factor 174,360 is 6.


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 984/174, 333/360

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 984/174, 333/360?

Answer: LCM of Numerators as per given numbers 984/174, 333/360 is

LCM of Numerators i.e. for 984,333 is 109224

GCF of denominators i.e. for 174,360 is 6.

Thus, LCM of Fractions is 18204.Finally, LCM of Fractions for 984/174, 333/360 is 18204.