Least Common Multiple of 5839/330, 6972/8006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5839/330, 6972/8006 quickly i.e. 20354754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5839/330, 6972/8006 is 20354754.

LCM(5839/330, 6972/8006) = 20354754

LCM of 5839/330, 6972/8006

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 5839/330,6972/8006

Given numbers are 5839/330,6972/8006

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 5839,6972

Least Common Multiple of Numerators i.e. LCM of 5839,6972 is 40709508.

GCF of Denominators means GCF of 330,8006 as per the given fractions.

GCF of 330,8006 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5839,6972

LCM of Fractions 5839/330,6972/8006 is 20354754

Given numbers has no common factors except 1. So, there LCM is their product i.e 40709508

Least Common Multiple of 5839,6972 with GCF Formula

Least Common Multiple of 5839,6972 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 5839,6972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5839,6972) = 1

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

GCF(5839,6972) x common factors =1 x 1 = 1

LCM(5839,6972) = ( 5839 × 6972 ) / 1

LCM(5839,6972) = 40709508 / 1

LCM(5839,6972) = 40709508


Lets's calculate GCF of 330,8006

2 330, 8006
165, 4003

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40709508/2

Therefore the LCM of Fractions 5839/330,6972/8006 is 20354754

Greatest Common Factor of 330,8006 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,8006 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 8006

List of positive integer factors of 8006 that divides 8006 without a remainder.

1,2,4003,8006

Greatest Common Factor

We found the factors 330,8006 . The biggest common factor number is the GCF number.
So the greatest common factor 330,8006 is 2.


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 5839/330, 6972/8006

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 5839/330, 6972/8006?

Answer: LCM of Numerators as per given numbers 5839/330, 6972/8006 is

LCM of Numerators i.e. for 5839,6972 is 40709508

GCF of denominators i.e. for 330,8006 is 2.

Thus, LCM of Fractions is 20354754.Finally, LCM of Fractions for 5839/330, 6972/8006 is 20354754.