Least Common Multiple of 66/397, 327/81, 231/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/397, 327/81, 231/978 quickly i.e. 50358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/397, 327/81, 231/978 is 50358.

LCM(66/397, 327/81, 231/978) = 50358

LCM of 66/397, 327/81, 231/978

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 66/397,327/81,231/978

Given numbers are 66/397,327/81,231/978

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 66,327,231

Least Common Multiple of Numerators i.e. LCM of 66,327,231 is 50358.

GCF of Denominators means GCF of 397,81,978 as per the given fractions.

GCF of 397,81,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,327,231

LCM of Fractions 66/397,327/81,231/978 is 50358

3 66, 327, 231
11 22, 109, 77
2, 109, 7

∴ So the LCM of the given numbers is 3 x 11 x 2 x 109 x 7 = 50358

Least Common Multiple of 66,327,231 with GCF Formula

Least Common Multiple of 66,327,231 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 66,327,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,327,231) = 3

common factors(in case of two or more numbers have common factors) = 33

GCF(66,327,231) x common factors =3 x 33 = 99

LCM(66,327,231) = ( 66 × 327 × 231 ) / 99

LCM(66,327,231) = 4985442 / 99

LCM(66,327,231) = 50358


Lets's calculate GCF of 397,81,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50358/1

Therefore the LCM of Fractions 66/397,327/81,231/978 is 50358

Greatest Common Factor of 397,81,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,81,978 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 397,81,978 . The biggest common factor number is the GCF number.
So the greatest common factor 397,81,978 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 66/397, 327/81, 231/978

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 66/397, 327/81, 231/978?

Answer: LCM of Numerators as per given numbers 66/397, 327/81, 231/978 is

LCM of Numerators i.e. for 66,327,231 is 50358

GCF of denominators i.e. for 397,81,978 is 1.

Thus, LCM of Fractions is 50358.Finally, LCM of Fractions for 66/397, 327/81, 231/978 is 50358.