Least Common Multiple of 327/375, 403/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/375, 403/470 quickly i.e. 131781/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/375, 403/470 is 131781/5.

LCM(327/375, 403/470) = 131781/5

LCM of 327/375, 403/470

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 327/375,403/470

Given numbers are 327/375,403/470

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 327,403

Least Common Multiple of Numerators i.e. LCM of 327,403 is 131781.

GCF of Denominators means GCF of 375,470 as per the given fractions.

GCF of 375,470 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,403

LCM of Fractions 327/375,403/470 is 131781/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 131781

Least Common Multiple of 327,403 with GCF Formula

Least Common Multiple of 327,403 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 327,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,403) = 1

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

GCF(327,403) x common factors =1 x 1 = 1

LCM(327,403) = ( 327 × 403 ) / 1

LCM(327,403) = 131781 / 1

LCM(327,403) = 131781


Lets's calculate GCF of 375,470

5 375, 470
75, 94

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131781/5

Therefore the LCM of Fractions 327/375,403/470 is 131781/5

Greatest Common Factor of 375,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,470 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 375,470 . The biggest common factor number is the GCF number.
So the greatest common factor 375,470 is 5.


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 327/375, 403/470

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 327/375, 403/470?

Answer: LCM of Numerators as per given numbers 327/375, 403/470 is

LCM of Numerators i.e. for 327,403 is 131781

GCF of denominators i.e. for 375,470 is 5.

Thus, LCM of Fractions is 131781/5.Finally, LCM of Fractions for 327/375, 403/470 is 131781/5.