Least Common Multiple of 327/157, 399/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/157, 399/471 quickly i.e. 43491/157 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/157, 399/471 is 43491/157.

LCM(327/157, 399/471) = 43491/157

LCM of 327/157, 399/471

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 327/157,399/471

Given numbers are 327/157,399/471

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 327,399

Least Common Multiple of Numerators i.e. LCM of 327,399 is 43491.

GCF of Denominators means GCF of 157,471 as per the given fractions.

GCF of 157,471 is 157 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,399

LCM of Fractions 327/157,399/471 is 43491/157

3 327, 399
109, 133

∴ So the LCM of the given numbers is 3 x 109 x 133 = 43491

Least Common Multiple of 327,399 with GCF Formula

Least Common Multiple of 327,399 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 327,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,399) = 3

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

GCF(327,399) x common factors =3 x 1 = 3

LCM(327,399) = ( 327 × 399 ) / 3

LCM(327,399) = 130473 / 3

LCM(327,399) = 43491


Lets's calculate GCF of 157,471

157 157, 471
1, 3

∴ So the GCF of the given numbers is 157 = 157

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43491/157

Therefore the LCM of Fractions 327/157,399/471 is 43491/157

Greatest Common Factor of 157,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,471 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 157,471 . The biggest common factor number is the GCF number.
So the greatest common factor 157,471 is 157.


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 327/157, 399/471

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 327/157, 399/471?

Answer: LCM of Numerators as per given numbers 327/157, 399/471 is

LCM of Numerators i.e. for 327,399 is 43491

GCF of denominators i.e. for 157,471 is 157.

Thus, LCM of Fractions is 43491/157.Finally, LCM of Fractions for 327/157, 399/471 is 43491/157.