Least Common Multiple of 205/446, 269/786, 203/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/446, 269/786, 203/494 quickly i.e. 11194435/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/446, 269/786, 203/494 is 11194435/2.

LCM(205/446, 269/786, 203/494) = 11194435/2

LCM of 205/446, 269/786, 203/494

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 205/446,269/786,203/494

Given numbers are 205/446,269/786,203/494

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 205,269,203

Least Common Multiple of Numerators i.e. LCM of 205,269,203 is 11194435.

GCF of Denominators means GCF of 446,786,494 as per the given fractions.

GCF of 446,786,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,269,203

LCM of Fractions 205/446,269/786,203/494 is 11194435/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 11194435

Least Common Multiple of 205,269,203 with GCF Formula

Least Common Multiple of 205,269,203 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 205,269,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,269,203) = 1

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

GCF(205,269,203) x common factors =1 x 1 = 1

LCM(205,269,203) = ( 205 × 269 × 203 ) / 1

LCM(205,269,203) = 11194435 / 1

LCM(205,269,203) = 11194435


Lets's calculate GCF of 446,786,494

2 446, 786, 494
223, 393, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11194435/2

Therefore the LCM of Fractions 205/446,269/786,203/494 is 11194435/2

Greatest Common Factor of 446,786,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,786,494 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 446,786,494 . The biggest common factor number is the GCF number.
So the greatest common factor 446,786,494 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 205/446, 269/786, 203/494

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 205/446, 269/786, 203/494?

Answer: LCM of Numerators as per given numbers 205/446, 269/786, 203/494 is

LCM of Numerators i.e. for 205,269,203 is 11194435

GCF of denominators i.e. for 446,786,494 is 2.

Thus, LCM of Fractions is 11194435/2.Finally, LCM of Fractions for 205/446, 269/786, 203/494 is 11194435/2.