Least Common Multiple of 75/330, 174/138, 798/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/330, 174/138, 798/500 quickly i.e. 289275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/330, 174/138, 798/500 is 289275.

LCM(75/330, 174/138, 798/500) = 289275

LCM of 75/330, 174/138, 798/500

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 75/330,174/138,798/500

Given numbers are 75/330,174/138,798/500

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 75,174,798

Least Common Multiple of Numerators i.e. LCM of 75,174,798 is 578550.

GCF of Denominators means GCF of 330,138,500 as per the given fractions.

GCF of 330,138,500 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,174,798

LCM of Fractions 75/330,174/138,798/500 is 289275

2 75, 174, 798
3 75, 87, 399
25, 29, 133

∴ So the LCM of the given numbers is 2 x 3 x 25 x 29 x 133 = 578550

Least Common Multiple of 75,174,798 with GCF Formula

Least Common Multiple of 75,174,798 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 75,174,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,174,798) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(75,174,798) x common factors =3 x 6 = 18

LCM(75,174,798) = ( 75 × 174 × 798 ) / 18

LCM(75,174,798) = 10413900 / 18

LCM(75,174,798) = 578550


Lets's calculate GCF of 330,138,500

2 330, 138, 500
165, 69, 250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 578550/2

Therefore the LCM of Fractions 75/330,174/138,798/500 is 289275

Greatest Common Factor of 330,138,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,138,500 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 330,138,500 . The biggest common factor number is the GCF number.
So the greatest common factor 330,138,500 is 2.


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 75/330, 174/138, 798/500

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 75/330, 174/138, 798/500?

Answer: LCM of Numerators as per given numbers 75/330, 174/138, 798/500 is

LCM of Numerators i.e. for 75,174,798 is 578550

GCF of denominators i.e. for 330,138,500 is 2.

Thus, LCM of Fractions is 289275.Finally, LCM of Fractions for 75/330, 174/138, 798/500 is 289275.