Least Common Multiple of 36/393, 17/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/393, 17/579 quickly i.e. 204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/393, 17/579 is 204.

LCM(36/393, 17/579) = 204

LCM of 36/393, 17/579

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 36/393,17/579

Given numbers are 36/393,17/579

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 36,17

Least Common Multiple of Numerators i.e. LCM of 36,17 is 612.

GCF of Denominators means GCF of 393,579 as per the given fractions.

GCF of 393,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,17

LCM of Fractions 36/393,17/579 is 204

Given numbers has no common factors except 1. So, there LCM is their product i.e 612

Least Common Multiple of 36,17 with GCF Formula

Least Common Multiple of 36,17 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 36,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,17) = 1

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

GCF(36,17) x common factors =1 x 1 = 1

LCM(36,17) = ( 36 × 17 ) / 1

LCM(36,17) = 612 / 1

LCM(36,17) = 612


Lets's calculate GCF of 393,579

3 393, 579
131, 193

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612/3

Therefore the LCM of Fractions 36/393,17/579 is 204

Greatest Common Factor of 393,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,579 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 393,579 . The biggest common factor number is the GCF number.
So the greatest common factor 393,579 is 3.


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 36/393, 17/579

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 36/393, 17/579?

Answer: LCM of Numerators as per given numbers 36/393, 17/579 is

LCM of Numerators i.e. for 36,17 is 612

GCF of denominators i.e. for 393,579 is 3.

Thus, LCM of Fractions is 204.Finally, LCM of Fractions for 36/393, 17/579 is 204.