Least Common Multiple of 53/209, 49/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/209, 49/494 quickly i.e. 2597/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/209, 49/494 is 2597/19.

LCM(53/209, 49/494) = 2597/19

LCM of 53/209, 49/494

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 53/209,49/494

Given numbers are 53/209,49/494

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 53,49

Least Common Multiple of Numerators i.e. LCM of 53,49 is 2597.

GCF of Denominators means GCF of 209,494 as per the given fractions.

GCF of 209,494 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,49

LCM of Fractions 53/209,49/494 is 2597/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 2597

Least Common Multiple of 53,49 with GCF Formula

Least Common Multiple of 53,49 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 53,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,49) = 1

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

GCF(53,49) x common factors =1 x 1 = 1

LCM(53,49) = ( 53 × 49 ) / 1

LCM(53,49) = 2597 / 1

LCM(53,49) = 2597


Lets's calculate GCF of 209,494

19 209, 494
11, 26

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2597/19

Therefore the LCM of Fractions 53/209,49/494 is 2597/19

Greatest Common Factor of 209,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,494 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

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 209,494 . The biggest common factor number is the GCF number.
So the greatest common factor 209,494 is 19.


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 53/209, 49/494

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 53/209, 49/494?

Answer: LCM of Numerators as per given numbers 53/209, 49/494 is

LCM of Numerators i.e. for 53,49 is 2597

GCF of denominators i.e. for 209,494 is 19.

Thus, LCM of Fractions is 2597/19.Finally, LCM of Fractions for 53/209, 49/494 is 2597/19.