Least Common Multiple of 579/45, 493/1993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 579/45, 493/1993 quickly i.e. 285447 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 579/45, 493/1993 is 285447.

LCM(579/45, 493/1993) = 285447

LCM of 579/45, 493/1993

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 579/45,493/1993

Given numbers are 579/45,493/1993

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 579,493

Least Common Multiple of Numerators i.e. LCM of 579,493 is 285447.

GCF of Denominators means GCF of 45,1993 as per the given fractions.

GCF of 45,1993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 579,493

LCM of Fractions 579/45,493/1993 is 285447

Given numbers has no common factors except 1. So, there LCM is their product i.e 285447

Least Common Multiple of 579,493 with GCF Formula

Least Common Multiple of 579,493 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 579,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,493) = 1

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

GCF(579,493) x common factors =1 x 1 = 1

LCM(579,493) = ( 579 × 493 ) / 1

LCM(579,493) = 285447 / 1

LCM(579,493) = 285447


Lets's calculate GCF of 45,1993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285447/1

Therefore the LCM of Fractions 579/45,493/1993 is 285447

Greatest Common Factor of 45,1993 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,1993 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 1993

List of positive integer factors of 1993 that divides 1993 without a remainder.

1,1993

Greatest Common Factor

We found the factors 45,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 45,1993 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 579/45, 493/1993

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 579/45, 493/1993?

Answer: LCM of Numerators as per given numbers 579/45, 493/1993 is

LCM of Numerators i.e. for 579,493 is 285447

GCF of denominators i.e. for 45,1993 is 1.

Thus, LCM of Fractions is 285447.Finally, LCM of Fractions for 579/45, 493/1993 is 285447.