Least Common Multiple of 209/17, 502/3245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/17, 502/3245 quickly i.e. 104918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/17, 502/3245 is 104918.

LCM(209/17, 502/3245) = 104918

LCM of 209/17, 502/3245

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 209/17,502/3245

Given numbers are 209/17,502/3245

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 209,502

Least Common Multiple of Numerators i.e. LCM of 209,502 is 104918.

GCF of Denominators means GCF of 17,3245 as per the given fractions.

GCF of 17,3245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,502

LCM of Fractions 209/17,502/3245 is 104918

Given numbers has no common factors except 1. So, there LCM is their product i.e 104918

Least Common Multiple of 209,502 with GCF Formula

Least Common Multiple of 209,502 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 209,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,502) = 1

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

GCF(209,502) x common factors =1 x 1 = 1

LCM(209,502) = ( 209 × 502 ) / 1

LCM(209,502) = 104918 / 1

LCM(209,502) = 104918


Lets's calculate GCF of 17,3245

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104918/1

Therefore the LCM of Fractions 209/17,502/3245 is 104918

Greatest Common Factor of 17,3245 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,3245 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 3245

List of positive integer factors of 3245 that divides 3245 without a remainder.

1,5,11,55,59,295,649,3245

Greatest Common Factor

We found the factors 17,3245 . The biggest common factor number is the GCF number.
So the greatest common factor 17,3245 is 1.


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 209/17, 502/3245

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 209/17, 502/3245?

Answer: LCM of Numerators as per given numbers 209/17, 502/3245 is

LCM of Numerators i.e. for 209,502 is 104918

GCF of denominators i.e. for 17,3245 is 1.

Thus, LCM of Fractions is 104918.Finally, LCM of Fractions for 209/17, 502/3245 is 104918.