Least Common Multiple of 209/56, 297/6246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/56, 297/6246 quickly i.e. 5643/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/56, 297/6246 is 5643/2.

LCM(209/56, 297/6246) = 5643/2

LCM of 209/56, 297/6246

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 209/56,297/6246

Given numbers are 209/56,297/6246

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 209,297

Least Common Multiple of Numerators i.e. LCM of 209,297 is 5643.

GCF of Denominators means GCF of 56,6246 as per the given fractions.

GCF of 56,6246 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,297

LCM of Fractions 209/56,297/6246 is 5643/2

11 209, 297
19, 27

∴ So the LCM of the given numbers is 11 x 19 x 27 = 5643

Least Common Multiple of 209,297 with GCF Formula

Least Common Multiple of 209,297 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 209,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,297) = 11

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

GCF(209,297) x common factors =11 x 1 = 11

LCM(209,297) = ( 209 × 297 ) / 11

LCM(209,297) = 62073 / 11

LCM(209,297) = 5643


Lets's calculate GCF of 56,6246

2 56, 6246
28, 3123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5643/2

Therefore the LCM of Fractions 209/56,297/6246 is 5643/2

Greatest Common Factor of 56,6246 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,6246 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 6246

List of positive integer factors of 6246 that divides 6246 without a remainder.

1,2,3,6,9,18,347,694,1041,2082,3123,6246

Greatest Common Factor

We found the factors 56,6246 . The biggest common factor number is the GCF number.
So the greatest common factor 56,6246 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 209/56, 297/6246

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 209/56, 297/6246?

Answer: LCM of Numerators as per given numbers 209/56, 297/6246 is

LCM of Numerators i.e. for 209,297 is 5643

GCF of denominators i.e. for 56,6246 is 2.

Thus, LCM of Fractions is 5643/2.Finally, LCM of Fractions for 209/56, 297/6246 is 5643/2.