Least Common Multiple of 20/271, 66/575, 469/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/271, 66/575, 469/408 quickly i.e. 309540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/271, 66/575, 469/408 is 309540.

LCM(20/271, 66/575, 469/408) = 309540

LCM of 20/271, 66/575, 469/408

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 20/271,66/575,469/408

Given numbers are 20/271,66/575,469/408

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 20,66,469

Least Common Multiple of Numerators i.e. LCM of 20,66,469 is 309540.

GCF of Denominators means GCF of 271,575,408 as per the given fractions.

GCF of 271,575,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,66,469

LCM of Fractions 20/271,66/575,469/408 is 309540

2 20, 66, 469
10, 33, 469

∴ So the LCM of the given numbers is 2 x 10 x 33 x 469 = 309540

Least Common Multiple of 20,66,469 with GCF Formula

Least Common Multiple of 20,66,469 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 20,66,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,66,469) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,66,469) x common factors =1 x 2 = 2

LCM(20,66,469) = ( 20 × 66 × 469 ) / 2

LCM(20,66,469) = 619080 / 2

LCM(20,66,469) = 309540


Lets's calculate GCF of 271,575,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309540/1

Therefore the LCM of Fractions 20/271,66/575,469/408 is 309540

Greatest Common Factor of 271,575,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,575,408 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 575

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

1,5,23,25,115,575

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 271,575,408 . The biggest common factor number is the GCF number.
So the greatest common factor 271,575,408 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 20/271, 66/575, 469/408

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 20/271, 66/575, 469/408?

Answer: LCM of Numerators as per given numbers 20/271, 66/575, 469/408 is

LCM of Numerators i.e. for 20,66,469 is 309540

GCF of denominators i.e. for 271,575,408 is 1.

Thus, LCM of Fractions is 309540.Finally, LCM of Fractions for 20/271, 66/575, 469/408 is 309540.