Least Common Multiple of 206/42, 303/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 206/42, 303/886 quickly i.e. 31209 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/42, 303/886 is 31209.

LCM(206/42, 303/886) = 31209

LCM of 206/42, 303/886

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 206/42,303/886

Given numbers are 206/42,303/886

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 206,303

Least Common Multiple of Numerators i.e. LCM of 206,303 is 62418.

GCF of Denominators means GCF of 42,886 as per the given fractions.

GCF of 42,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,303

LCM of Fractions 206/42,303/886 is 31209

Given numbers has no common factors except 1. So, there LCM is their product i.e 62418

Least Common Multiple of 206,303 with GCF Formula

Least Common Multiple of 206,303 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 206,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,303) = 1

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

GCF(206,303) x common factors =1 x 1 = 1

LCM(206,303) = ( 206 × 303 ) / 1

LCM(206,303) = 62418 / 1

LCM(206,303) = 62418


Lets's calculate GCF of 42,886

2 42, 886
21, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62418/2

Therefore the LCM of Fractions 206/42,303/886 is 31209

Greatest Common Factor of 42,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,886 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 42,886 . The biggest common factor number is the GCF number.
So the greatest common factor 42,886 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 206/42, 303/886

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 206/42, 303/886?

Answer: LCM of Numerators as per given numbers 206/42, 303/886 is

LCM of Numerators i.e. for 206,303 is 62418

GCF of denominators i.e. for 42,886 is 2.

Thus, LCM of Fractions is 31209.Finally, LCM of Fractions for 206/42, 303/886 is 31209.