Least Common Multiple of 819/644, 1993/2008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/644, 1993/2008 quickly i.e. 1632267/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/644, 1993/2008 is 1632267/4.

LCM(819/644, 1993/2008) = 1632267/4

LCM of 819/644, 1993/2008

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 819/644,1993/2008

Given numbers are 819/644,1993/2008

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 819,1993

Least Common Multiple of Numerators i.e. LCM of 819,1993 is 1632267.

GCF of Denominators means GCF of 644,2008 as per the given fractions.

GCF of 644,2008 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,1993

LCM of Fractions 819/644,1993/2008 is 1632267/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1632267

Least Common Multiple of 819,1993 with GCF Formula

Least Common Multiple of 819,1993 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 819,1993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,1993) = 1

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

GCF(819,1993) x common factors =1 x 1 = 1

LCM(819,1993) = ( 819 × 1993 ) / 1

LCM(819,1993) = 1632267 / 1

LCM(819,1993) = 1632267


Lets's calculate GCF of 644,2008

2 644, 2008
2 322, 1004
161, 502

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1632267/4

Therefore the LCM of Fractions 819/644,1993/2008 is 1632267/4

Greatest Common Factor of 644,2008 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,2008 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 2008

List of positive integer factors of 2008 that divides 2008 without a remainder.

1,2,4,8,251,502,1004,2008

Greatest Common Factor

We found the factors 644,2008 . The biggest common factor number is the GCF number.
So the greatest common factor 644,2008 is 4.


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 819/644, 1993/2008

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 819/644, 1993/2008?

Answer: LCM of Numerators as per given numbers 819/644, 1993/2008 is

LCM of Numerators i.e. for 819,1993 is 1632267

GCF of denominators i.e. for 644,2008 is 4.

Thus, LCM of Fractions is 1632267/4.Finally, LCM of Fractions for 819/644, 1993/2008 is 1632267/4.