Least Common Multiple of 830/322, 213/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 830/322, 213/242 quickly i.e. 88395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 830/322, 213/242 is 88395.

LCM(830/322, 213/242) = 88395

LCM of 830/322, 213/242

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 830/322,213/242

Given numbers are 830/322,213/242

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 830,213

Least Common Multiple of Numerators i.e. LCM of 830,213 is 176790.

GCF of Denominators means GCF of 322,242 as per the given fractions.

GCF of 322,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 830,213

LCM of Fractions 830/322,213/242 is 88395

Given numbers has no common factors except 1. So, there LCM is their product i.e 176790

Least Common Multiple of 830,213 with GCF Formula

Least Common Multiple of 830,213 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 830,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,213) = 1

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

GCF(830,213) x common factors =1 x 1 = 1

LCM(830,213) = ( 830 × 213 ) / 1

LCM(830,213) = 176790 / 1

LCM(830,213) = 176790


Lets's calculate GCF of 322,242

2 322, 242
161, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176790/2

Therefore the LCM of Fractions 830/322,213/242 is 88395

Greatest Common Factor of 322,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,242 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 322,242 . The biggest common factor number is the GCF number.
So the greatest common factor 322,242 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 830/322, 213/242

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 830/322, 213/242?

Answer: LCM of Numerators as per given numbers 830/322, 213/242 is

LCM of Numerators i.e. for 830,213 is 176790

GCF of denominators i.e. for 322,242 is 2.

Thus, LCM of Fractions is 88395.Finally, LCM of Fractions for 830/322, 213/242 is 88395.