Least Common Multiple of 286/483, 8698/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/483, 8698/322 quickly i.e. 1243814/161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/483, 8698/322 is 1243814/161.

LCM(286/483, 8698/322) = 1243814/161

LCM of 286/483, 8698/322

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 286/483,8698/322

Given numbers are 286/483,8698/322

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 286,8698

Least Common Multiple of Numerators i.e. LCM of 286,8698 is 1243814.

GCF of Denominators means GCF of 483,322 as per the given fractions.

GCF of 483,322 is 161 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,8698

LCM of Fractions 286/483,8698/322 is 1243814/161

2 286, 8698
143, 4349

∴ So the LCM of the given numbers is 2 x 143 x 4349 = 1243814

Least Common Multiple of 286,8698 with GCF Formula

Least Common Multiple of 286,8698 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 286,8698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,8698) = 2

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

GCF(286,8698) x common factors =2 x 1 = 2

LCM(286,8698) = ( 286 × 8698 ) / 2

LCM(286,8698) = 2487628 / 2

LCM(286,8698) = 1243814


Lets's calculate GCF of 483,322

7 483, 322
23 69, 46
3, 2

∴ So the GCF of the given numbers is 7 x 23 = 161

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1243814/161

Therefore the LCM of Fractions 286/483,8698/322 is 1243814/161

Greatest Common Factor of 483,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,322 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 322

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

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

Greatest Common Factor

We found the factors 483,322 . The biggest common factor number is the GCF number.
So the greatest common factor 483,322 is 161.


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 286/483, 8698/322

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 286/483, 8698/322?

Answer: LCM of Numerators as per given numbers 286/483, 8698/322 is

LCM of Numerators i.e. for 286,8698 is 1243814

GCF of denominators i.e. for 483,322 is 161.

Thus, LCM of Fractions is 1243814/161.Finally, LCM of Fractions for 286/483, 8698/322 is 1243814/161.