Least Common Multiple of 216/45, 393/3739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/45, 393/3739 quickly i.e. 28296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/45, 393/3739 is 28296.

LCM(216/45, 393/3739) = 28296

LCM of 216/45, 393/3739

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 216/45,393/3739

Given numbers are 216/45,393/3739

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 216,393

Least Common Multiple of Numerators i.e. LCM of 216,393 is 28296.

GCF of Denominators means GCF of 45,3739 as per the given fractions.

GCF of 45,3739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,393

LCM of Fractions 216/45,393/3739 is 28296

3 216, 393
72, 131

∴ So the LCM of the given numbers is 3 x 72 x 131 = 28296

Least Common Multiple of 216,393 with GCF Formula

Least Common Multiple of 216,393 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 216,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,393) = 3

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

GCF(216,393) x common factors =3 x 1 = 3

LCM(216,393) = ( 216 × 393 ) / 3

LCM(216,393) = 84888 / 3

LCM(216,393) = 28296


Lets's calculate GCF of 45,3739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28296/1

Therefore the LCM of Fractions 216/45,393/3739 is 28296

Greatest Common Factor of 45,3739 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,3739 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 3739

List of positive integer factors of 3739 that divides 3739 without a remainder.

1,3739

Greatest Common Factor

We found the factors 45,3739 . The biggest common factor number is the GCF number.
So the greatest common factor 45,3739 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 216/45, 393/3739

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 216/45, 393/3739?

Answer: LCM of Numerators as per given numbers 216/45, 393/3739 is

LCM of Numerators i.e. for 216,393 is 28296

GCF of denominators i.e. for 45,3739 is 1.

Thus, LCM of Fractions is 28296.Finally, LCM of Fractions for 216/45, 393/3739 is 28296.