Least Common Multiple of 206/36, 317/1423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/36, 317/1423 quickly i.e. 65302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/36, 317/1423 is 65302.

LCM(206/36, 317/1423) = 65302

LCM of 206/36, 317/1423

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 206/36,317/1423

Given numbers are 206/36,317/1423

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 206,317

Least Common Multiple of Numerators i.e. LCM of 206,317 is 65302.

GCF of Denominators means GCF of 36,1423 as per the given fractions.

GCF of 36,1423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,317

LCM of Fractions 206/36,317/1423 is 65302

Given numbers has no common factors except 1. So, there LCM is their product i.e 65302

Least Common Multiple of 206,317 with GCF Formula

Least Common Multiple of 206,317 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 206,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,317) = 1

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

GCF(206,317) x common factors =1 x 1 = 1

LCM(206,317) = ( 206 × 317 ) / 1

LCM(206,317) = 65302 / 1

LCM(206,317) = 65302


Lets's calculate GCF of 36,1423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65302/1

Therefore the LCM of Fractions 206/36,317/1423 is 65302

Greatest Common Factor of 36,1423 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,1423 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 1423

List of positive integer factors of 1423 that divides 1423 without a remainder.

1,1423

Greatest Common Factor

We found the factors 36,1423 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1423 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 206/36, 317/1423

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 206/36, 317/1423?

Answer: LCM of Numerators as per given numbers 206/36, 317/1423 is

LCM of Numerators i.e. for 206,317 is 65302

GCF of denominators i.e. for 36,1423 is 1.

Thus, LCM of Fractions is 65302.Finally, LCM of Fractions for 206/36, 317/1423 is 65302.