Least Common Multiple of 206/27, 212/4069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/27, 212/4069 quickly i.e. 21836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/27, 212/4069 is 21836.

LCM(206/27, 212/4069) = 21836

LCM of 206/27, 212/4069

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 206/27,212/4069

Given numbers are 206/27,212/4069

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 206,212

Least Common Multiple of Numerators i.e. LCM of 206,212 is 21836.

GCF of Denominators means GCF of 27,4069 as per the given fractions.

GCF of 27,4069 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,212

LCM of Fractions 206/27,212/4069 is 21836

2 206, 212
103, 106

∴ So the LCM of the given numbers is 2 x 103 x 106 = 21836

Least Common Multiple of 206,212 with GCF Formula

Least Common Multiple of 206,212 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 206,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,212) = 2

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

GCF(206,212) x common factors =2 x 1 = 2

LCM(206,212) = ( 206 × 212 ) / 2

LCM(206,212) = 43672 / 2

LCM(206,212) = 21836


Lets's calculate GCF of 27,4069

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21836/1

Therefore the LCM of Fractions 206/27,212/4069 is 21836

Greatest Common Factor of 27,4069 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,4069 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 4069

List of positive integer factors of 4069 that divides 4069 without a remainder.

1,13,313,4069

Greatest Common Factor

We found the factors 27,4069 . The biggest common factor number is the GCF number.
So the greatest common factor 27,4069 is 1.


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 206/27, 212/4069

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 206/27, 212/4069?

Answer: LCM of Numerators as per given numbers 206/27, 212/4069 is

LCM of Numerators i.e. for 206,212 is 21836

GCF of denominators i.e. for 27,4069 is 1.

Thus, LCM of Fractions is 21836.Finally, LCM of Fractions for 206/27, 212/4069 is 21836.