Least Common Multiple of 83/441, 1983/2009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/441, 1983/2009 quickly i.e. 164589/49 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/441, 1983/2009 is 164589/49.

LCM(83/441, 1983/2009) = 164589/49

LCM of 83/441, 1983/2009

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 83/441,1983/2009

Given numbers are 83/441,1983/2009

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 83,1983

Least Common Multiple of Numerators i.e. LCM of 83,1983 is 164589.

GCF of Denominators means GCF of 441,2009 as per the given fractions.

GCF of 441,2009 is 49 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,1983

LCM of Fractions 83/441,1983/2009 is 164589/49

Given numbers has no common factors except 1. So, there LCM is their product i.e 164589

Least Common Multiple of 83,1983 with GCF Formula

Least Common Multiple of 83,1983 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 83,1983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,1983) = 1

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

GCF(83,1983) x common factors =1 x 1 = 1

LCM(83,1983) = ( 83 × 1983 ) / 1

LCM(83,1983) = 164589 / 1

LCM(83,1983) = 164589


Lets's calculate GCF of 441,2009

7 441, 2009
7 63, 287
9, 41

∴ So the GCF of the given numbers is 7 x 7 = 49

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164589/49

Therefore the LCM of Fractions 83/441,1983/2009 is 164589/49

Greatest Common Factor of 441,2009 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,2009 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 2009

List of positive integer factors of 2009 that divides 2009 without a remainder.

1,7,41,49,287,2009

Greatest Common Factor

We found the factors 441,2009 . The biggest common factor number is the GCF number.
So the greatest common factor 441,2009 is 49.


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 83/441, 1983/2009

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 83/441, 1983/2009?

Answer: LCM of Numerators as per given numbers 83/441, 1983/2009 is

LCM of Numerators i.e. for 83,1983 is 164589

GCF of denominators i.e. for 441,2009 is 49.

Thus, LCM of Fractions is 164589/49.Finally, LCM of Fractions for 83/441, 1983/2009 is 164589/49.