Least Common Multiple of 218/81, 664/1389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/81, 664/1389 quickly i.e. 72376/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/81, 664/1389 is 72376/3.

LCM(218/81, 664/1389) = 72376/3

LCM of 218/81, 664/1389

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 218/81,664/1389

Given numbers are 218/81,664/1389

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 218,664

Least Common Multiple of Numerators i.e. LCM of 218,664 is 72376.

GCF of Denominators means GCF of 81,1389 as per the given fractions.

GCF of 81,1389 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,664

LCM of Fractions 218/81,664/1389 is 72376/3

2 218, 664
109, 332

∴ So the LCM of the given numbers is 2 x 109 x 332 = 72376

Least Common Multiple of 218,664 with GCF Formula

Least Common Multiple of 218,664 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 218,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,664) = 2

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

GCF(218,664) x common factors =2 x 1 = 2

LCM(218,664) = ( 218 × 664 ) / 2

LCM(218,664) = 144752 / 2

LCM(218,664) = 72376


Lets's calculate GCF of 81,1389

3 81, 1389
27, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72376/3

Therefore the LCM of Fractions 218/81,664/1389 is 72376/3

Greatest Common Factor of 81,1389 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,1389 By Matching Biggest Common Factor Method

Factors of 81

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

1,3,9,27,81

Factors of 1389

List of positive integer factors of 1389 that divides 1389 without a remainder.

1,3,463,1389

Greatest Common Factor

We found the factors 81,1389 . The biggest common factor number is the GCF number.
So the greatest common factor 81,1389 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 218/81, 664/1389

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 218/81, 664/1389?

Answer: LCM of Numerators as per given numbers 218/81, 664/1389 is

LCM of Numerators i.e. for 218,664 is 72376

GCF of denominators i.e. for 81,1389 is 3.

Thus, LCM of Fractions is 72376/3.Finally, LCM of Fractions for 218/81, 664/1389 is 72376/3.