Least Common Multiple of 231/218, 5822/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/218, 5822/664 quickly i.e. 672441 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/218, 5822/664 is 672441.

LCM(231/218, 5822/664) = 672441

LCM of 231/218, 5822/664

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 231/218,5822/664

Given numbers are 231/218,5822/664

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 231,5822

Least Common Multiple of Numerators i.e. LCM of 231,5822 is 1344882.

GCF of Denominators means GCF of 218,664 as per the given fractions.

GCF of 218,664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,5822

LCM of Fractions 231/218,5822/664 is 672441

Given numbers has no common factors except 1. So, there LCM is their product i.e 1344882

Least Common Multiple of 231,5822 with GCF Formula

Least Common Multiple of 231,5822 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 231,5822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,5822) = 1

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

GCF(231,5822) x common factors =1 x 1 = 1

LCM(231,5822) = ( 231 × 5822 ) / 1

LCM(231,5822) = 1344882 / 1

LCM(231,5822) = 1344882


Lets's calculate GCF of 218,664

2 218, 664
109, 332

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344882/2

Therefore the LCM of Fractions 231/218,5822/664 is 672441

Greatest Common Factor of 218,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,664 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 218,664 . The biggest common factor number is the GCF number.
So the greatest common factor 218,664 is 2.


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 231/218, 5822/664

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 231/218, 5822/664?

Answer: LCM of Numerators as per given numbers 231/218, 5822/664 is

LCM of Numerators i.e. for 231,5822 is 1344882

GCF of denominators i.e. for 218,664 is 2.

Thus, LCM of Fractions is 672441.Finally, LCM of Fractions for 231/218, 5822/664 is 672441.