Least Common Multiple of 231/222, 659/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/222, 659/721 quickly i.e. 152229 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/222, 659/721 is 152229.

LCM(231/222, 659/721) = 152229

LCM of 231/222, 659/721

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 231/222,659/721

Given numbers are 231/222,659/721

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 231,659

Least Common Multiple of Numerators i.e. LCM of 231,659 is 152229.

GCF of Denominators means GCF of 222,721 as per the given fractions.

GCF of 222,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,659

LCM of Fractions 231/222,659/721 is 152229

Given numbers has no common factors except 1. So, there LCM is their product i.e 152229

Least Common Multiple of 231,659 with GCF Formula

Least Common Multiple of 231,659 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 231,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,659) = 1

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

GCF(231,659) x common factors =1 x 1 = 1

LCM(231,659) = ( 231 × 659 ) / 1

LCM(231,659) = 152229 / 1

LCM(231,659) = 152229


Lets's calculate GCF of 222,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152229/1

Therefore the LCM of Fractions 231/222,659/721 is 152229

Greatest Common Factor of 222,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,721 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 222,721 . The biggest common factor number is the GCF number.
So the greatest common factor 222,721 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 231/222, 659/721

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 231/222, 659/721?

Answer: LCM of Numerators as per given numbers 231/222, 659/721 is

LCM of Numerators i.e. for 231,659 is 152229

GCF of denominators i.e. for 222,721 is 1.

Thus, LCM of Fractions is 152229.Finally, LCM of Fractions for 231/222, 659/721 is 152229.