Least Common Multiple of 4003/20, 3239/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4003/20, 3239/812 quickly i.e. 12965717/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4003/20, 3239/812 is 12965717/4.

LCM(4003/20, 3239/812) = 12965717/4

LCM of 4003/20, 3239/812

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 4003/20,3239/812

Given numbers are 4003/20,3239/812

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 4003,3239

Least Common Multiple of Numerators i.e. LCM of 4003,3239 is 12965717.

GCF of Denominators means GCF of 20,812 as per the given fractions.

GCF of 20,812 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4003,3239

LCM of Fractions 4003/20,3239/812 is 12965717/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 12965717

Least Common Multiple of 4003,3239 with GCF Formula

Least Common Multiple of 4003,3239 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 4003,3239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4003,3239) = 1

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

GCF(4003,3239) x common factors =1 x 1 = 1

LCM(4003,3239) = ( 4003 × 3239 ) / 1

LCM(4003,3239) = 12965717 / 1

LCM(4003,3239) = 12965717


Lets's calculate GCF of 20,812

2 20, 812
2 10, 406
5, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12965717/4

Therefore the LCM of Fractions 4003/20,3239/812 is 12965717/4

Greatest Common Factor of 20,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,812 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 20,812 . The biggest common factor number is the GCF number.
So the greatest common factor 20,812 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 4003/20, 3239/812

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 4003/20, 3239/812?

Answer: LCM of Numerators as per given numbers 4003/20, 3239/812 is

LCM of Numerators i.e. for 4003,3239 is 12965717

GCF of denominators i.e. for 20,812 is 4.

Thus, LCM of Fractions is 12965717/4.Finally, LCM of Fractions for 4003/20, 3239/812 is 12965717/4.