Least Common Multiple of 206/94, 231/4942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 206/94, 231/4942 quickly i.e. 23793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/94, 231/4942 is 23793.

LCM(206/94, 231/4942) = 23793

LCM of 206/94, 231/4942

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 206/94,231/4942

Given numbers are 206/94,231/4942

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 206,231

Least Common Multiple of Numerators i.e. LCM of 206,231 is 47586.

GCF of Denominators means GCF of 94,4942 as per the given fractions.

GCF of 94,4942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,231

LCM of Fractions 206/94,231/4942 is 23793

Given numbers has no common factors except 1. So, there LCM is their product i.e 47586

Least Common Multiple of 206,231 with GCF Formula

Least Common Multiple of 206,231 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 206,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,231) = 1

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

GCF(206,231) x common factors =1 x 1 = 1

LCM(206,231) = ( 206 × 231 ) / 1

LCM(206,231) = 47586 / 1

LCM(206,231) = 47586


Lets's calculate GCF of 94,4942

2 94, 4942
47, 2471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47586/2

Therefore the LCM of Fractions 206/94,231/4942 is 23793

Greatest Common Factor of 94,4942 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,4942 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 4942

List of positive integer factors of 4942 that divides 4942 without a remainder.

1,2,7,14,353,706,2471,4942

Greatest Common Factor

We found the factors 94,4942 . The biggest common factor number is the GCF number.
So the greatest common factor 94,4942 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 206/94, 231/4942

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 206/94, 231/4942?

Answer: LCM of Numerators as per given numbers 206/94, 231/4942 is

LCM of Numerators i.e. for 206,231 is 47586

GCF of denominators i.e. for 94,4942 is 2.

Thus, LCM of Fractions is 23793.Finally, LCM of Fractions for 206/94, 231/4942 is 23793.