Least Common Multiple of 206/418, 9494/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/418, 9494/336 quickly i.e. 488941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/418, 9494/336 is 488941.

LCM(206/418, 9494/336) = 488941

LCM of 206/418, 9494/336

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 206/418,9494/336

Given numbers are 206/418,9494/336

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 206,9494

Least Common Multiple of Numerators i.e. LCM of 206,9494 is 977882.

GCF of Denominators means GCF of 418,336 as per the given fractions.

GCF of 418,336 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,9494

LCM of Fractions 206/418,9494/336 is 488941

2 206, 9494
103, 4747

∴ So the LCM of the given numbers is 2 x 103 x 4747 = 977882

Least Common Multiple of 206,9494 with GCF Formula

Least Common Multiple of 206,9494 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 206,9494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,9494) = 2

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

GCF(206,9494) x common factors =2 x 1 = 2

LCM(206,9494) = ( 206 × 9494 ) / 2

LCM(206,9494) = 1955764 / 2

LCM(206,9494) = 977882


Lets's calculate GCF of 418,336

2 418, 336
209, 168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 977882/2

Therefore the LCM of Fractions 206/418,9494/336 is 488941

Greatest Common Factor of 418,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,336 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 418,336 . The biggest common factor number is the GCF number.
So the greatest common factor 418,336 is 2.


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 206/418, 9494/336

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 206/418, 9494/336?

Answer: LCM of Numerators as per given numbers 206/418, 9494/336 is

LCM of Numerators i.e. for 206,9494 is 977882

GCF of denominators i.e. for 418,336 is 2.

Thus, LCM of Fractions is 488941.Finally, LCM of Fractions for 206/418, 9494/336 is 488941.