Least Common Multiple of 2169/33, 7342/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2169/33, 7342/204 quickly i.e. 5308266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2169/33, 7342/204 is 5308266.

LCM(2169/33, 7342/204) = 5308266

LCM of 2169/33, 7342/204

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 2169/33,7342/204

Given numbers are 2169/33,7342/204

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 2169,7342

Least Common Multiple of Numerators i.e. LCM of 2169,7342 is 15924798.

GCF of Denominators means GCF of 33,204 as per the given fractions.

GCF of 33,204 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2169,7342

LCM of Fractions 2169/33,7342/204 is 5308266

Given numbers has no common factors except 1. So, there LCM is their product i.e 15924798

Least Common Multiple of 2169,7342 with GCF Formula

Least Common Multiple of 2169,7342 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 2169,7342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2169,7342) = 1

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

GCF(2169,7342) x common factors =1 x 1 = 1

LCM(2169,7342) = ( 2169 × 7342 ) / 1

LCM(2169,7342) = 15924798 / 1

LCM(2169,7342) = 15924798


Lets's calculate GCF of 33,204

3 33, 204
11, 68

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15924798/3

Therefore the LCM of Fractions 2169/33,7342/204 is 5308266

Greatest Common Factor of 33,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,204 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 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 33,204 . The biggest common factor number is the GCF number.
So the greatest common factor 33,204 is 3.


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 2169/33, 7342/204

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 2169/33, 7342/204?

Answer: LCM of Numerators as per given numbers 2169/33, 7342/204 is

LCM of Numerators i.e. for 2169,7342 is 15924798

GCF of denominators i.e. for 33,204 is 3.

Thus, LCM of Fractions is 5308266.Finally, LCM of Fractions for 2169/33, 7342/204 is 5308266.