Least Common Multiple of 27/393, 38/821, 415/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/393, 38/821, 415/449 quickly i.e. 425790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/393, 38/821, 415/449 is 425790.

LCM(27/393, 38/821, 415/449) = 425790

LCM of 27/393, 38/821, 415/449

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 27/393,38/821,415/449

Given numbers are 27/393,38/821,415/449

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 27,38,415

Least Common Multiple of Numerators i.e. LCM of 27,38,415 is 425790.

GCF of Denominators means GCF of 393,821,449 as per the given fractions.

GCF of 393,821,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,38,415

LCM of Fractions 27/393,38/821,415/449 is 425790

Given numbers has no common factors except 1. So, there LCM is their product i.e 425790

Least Common Multiple of 27,38,415 with GCF Formula

Least Common Multiple of 27,38,415 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 27,38,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,38,415) = 1

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

GCF(27,38,415) x common factors =1 x 1 = 1

LCM(27,38,415) = ( 27 × 38 × 415 ) / 1

LCM(27,38,415) = 425790 / 1

LCM(27,38,415) = 425790


Lets's calculate GCF of 393,821,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 425790/1

Therefore the LCM of Fractions 27/393,38/821,415/449 is 425790

Greatest Common Factor of 393,821,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,821,449 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 393,821,449 . The biggest common factor number is the GCF number.
So the greatest common factor 393,821,449 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 27/393, 38/821, 415/449

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 27/393, 38/821, 415/449?

Answer: LCM of Numerators as per given numbers 27/393, 38/821, 415/449 is

LCM of Numerators i.e. for 27,38,415 is 425790

GCF of denominators i.e. for 393,821,449 is 1.

Thus, LCM of Fractions is 425790.Finally, LCM of Fractions for 27/393, 38/821, 415/449 is 425790.