Least Common Multiple of 217/3, 69/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/3, 69/81 quickly i.e. 4991 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/3, 69/81 is 4991.

LCM(217/3, 69/81) = 4991

LCM of 217/3, 69/81

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 217/3,69/81

Given numbers are 217/3,69/81

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 217,69

Least Common Multiple of Numerators i.e. LCM of 217,69 is 14973.

GCF of Denominators means GCF of 3,81 as per the given fractions.

GCF of 3,81 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,69

LCM of Fractions 217/3,69/81 is 4991

Given numbers has no common factors except 1. So, there LCM is their product i.e 14973

Least Common Multiple of 217,69 with GCF Formula

Least Common Multiple of 217,69 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 217,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,69) = 1

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

GCF(217,69) x common factors =1 x 1 = 1

LCM(217,69) = ( 217 × 69 ) / 1

LCM(217,69) = 14973 / 1

LCM(217,69) = 14973


Lets's calculate GCF of 3,81

3 3, 81
1, 27

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14973/3

Therefore the LCM of Fractions 217/3,69/81 is 4991

Greatest Common Factor of 3,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,81 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 3,81 . The biggest common factor number is the GCF number.
So the greatest common factor 3,81 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 217/3, 69/81

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 217/3, 69/81?

Answer: LCM of Numerators as per given numbers 217/3, 69/81 is

LCM of Numerators i.e. for 217,69 is 14973

GCF of denominators i.e. for 3,81 is 3.

Thus, LCM of Fractions is 4991.Finally, LCM of Fractions for 217/3, 69/81 is 4991.