Least Common Multiple of 327/444, 197/575, 574/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/444, 197/575, 574/225 quickly i.e. 36976506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/444, 197/575, 574/225 is 36976506.

LCM(327/444, 197/575, 574/225) = 36976506

LCM of 327/444, 197/575, 574/225

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 327/444,197/575,574/225

Given numbers are 327/444,197/575,574/225

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 327,197,574

Least Common Multiple of Numerators i.e. LCM of 327,197,574 is 36976506.

GCF of Denominators means GCF of 444,575,225 as per the given fractions.

GCF of 444,575,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,197,574

LCM of Fractions 327/444,197/575,574/225 is 36976506

Given numbers has no common factors except 1. So, there LCM is their product i.e 36976506

Least Common Multiple of 327,197,574 with GCF Formula

Least Common Multiple of 327,197,574 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 327,197,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,197,574) = 1

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

GCF(327,197,574) x common factors =1 x 1 = 1

LCM(327,197,574) = ( 327 × 197 × 574 ) / 1

LCM(327,197,574) = 36976506 / 1

LCM(327,197,574) = 36976506


Lets's calculate GCF of 444,575,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36976506/1

Therefore the LCM of Fractions 327/444,197/575,574/225 is 36976506

Greatest Common Factor of 444,575,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,575,225 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 444,575,225 . The biggest common factor number is the GCF number.
So the greatest common factor 444,575,225 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 327/444, 197/575, 574/225

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 327/444, 197/575, 574/225?

Answer: LCM of Numerators as per given numbers 327/444, 197/575, 574/225 is

LCM of Numerators i.e. for 327,197,574 is 36976506

GCF of denominators i.e. for 444,575,225 is 1.

Thus, LCM of Fractions is 36976506.Finally, LCM of Fractions for 327/444, 197/575, 574/225 is 36976506.