Least Common Multiple of 48/605, 3543/1809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/605, 3543/1809 quickly i.e. 56688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/605, 3543/1809 is 56688.

LCM(48/605, 3543/1809) = 56688

LCM of 48/605, 3543/1809

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 48/605,3543/1809

Given numbers are 48/605,3543/1809

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 48,3543

Least Common Multiple of Numerators i.e. LCM of 48,3543 is 56688.

GCF of Denominators means GCF of 605,1809 as per the given fractions.

GCF of 605,1809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,3543

LCM of Fractions 48/605,3543/1809 is 56688

3 48, 3543
16, 1181

∴ So the LCM of the given numbers is 3 x 16 x 1181 = 56688

Least Common Multiple of 48,3543 with GCF Formula

Least Common Multiple of 48,3543 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 48,3543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,3543) = 3

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

GCF(48,3543) x common factors =3 x 1 = 3

LCM(48,3543) = ( 48 × 3543 ) / 3

LCM(48,3543) = 170064 / 3

LCM(48,3543) = 56688


Lets's calculate GCF of 605,1809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56688/1

Therefore the LCM of Fractions 48/605,3543/1809 is 56688

Greatest Common Factor of 605,1809 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,1809 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 1809

List of positive integer factors of 1809 that divides 1809 without a remainder.

1,3,9,27,67,201,603,1809

Greatest Common Factor

We found the factors 605,1809 . The biggest common factor number is the GCF number.
So the greatest common factor 605,1809 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 48/605, 3543/1809

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 48/605, 3543/1809?

Answer: LCM of Numerators as per given numbers 48/605, 3543/1809 is

LCM of Numerators i.e. for 48,3543 is 56688

GCF of denominators i.e. for 605,1809 is 1.

Thus, LCM of Fractions is 56688.Finally, LCM of Fractions for 48/605, 3543/1809 is 56688.