Least Common Multiple of 6689/33, 4000/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6689/33, 4000/902 quickly i.e. 26756000/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6689/33, 4000/902 is 26756000/11.

LCM(6689/33, 4000/902) = 26756000/11

LCM of 6689/33, 4000/902

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 6689/33,4000/902

Given numbers are 6689/33,4000/902

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 6689,4000

Least Common Multiple of Numerators i.e. LCM of 6689,4000 is 26756000.

GCF of Denominators means GCF of 33,902 as per the given fractions.

GCF of 33,902 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6689,4000

LCM of Fractions 6689/33,4000/902 is 26756000/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 26756000

Least Common Multiple of 6689,4000 with GCF Formula

Least Common Multiple of 6689,4000 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 6689,4000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6689,4000) = 1

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

GCF(6689,4000) x common factors =1 x 1 = 1

LCM(6689,4000) = ( 6689 × 4000 ) / 1

LCM(6689,4000) = 26756000 / 1

LCM(6689,4000) = 26756000


Lets's calculate GCF of 33,902

11 33, 902
3, 82

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26756000/11

Therefore the LCM of Fractions 6689/33,4000/902 is 26756000/11

Greatest Common Factor of 33,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,902 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 33,902 . The biggest common factor number is the GCF number.
So the greatest common factor 33,902 is 11.


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 6689/33, 4000/902

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 6689/33, 4000/902?

Answer: LCM of Numerators as per given numbers 6689/33, 4000/902 is

LCM of Numerators i.e. for 6689,4000 is 26756000

GCF of denominators i.e. for 33,902 is 11.

Thus, LCM of Fractions is 26756000/11.Finally, LCM of Fractions for 6689/33, 4000/902 is 26756000/11.