Least Common Multiple of 81/333, 35/194, 228/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/333, 35/194, 228/517 quickly i.e. 215460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/333, 35/194, 228/517 is 215460.

LCM(81/333, 35/194, 228/517) = 215460

LCM of 81/333, 35/194, 228/517

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 81/333,35/194,228/517

Given numbers are 81/333,35/194,228/517

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 81,35,228

Least Common Multiple of Numerators i.e. LCM of 81,35,228 is 215460.

GCF of Denominators means GCF of 333,194,517 as per the given fractions.

GCF of 333,194,517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,35,228

LCM of Fractions 81/333,35/194,228/517 is 215460

3 81, 35, 228
27, 35, 76

∴ So the LCM of the given numbers is 3 x 27 x 35 x 76 = 215460

Least Common Multiple of 81,35,228 with GCF Formula

Least Common Multiple of 81,35,228 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 81,35,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,35,228) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,35,228) x common factors =1 x 3 = 3

LCM(81,35,228) = ( 81 × 35 × 228 ) / 3

LCM(81,35,228) = 646380 / 3

LCM(81,35,228) = 215460


Lets's calculate GCF of 333,194,517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215460/1

Therefore the LCM of Fractions 81/333,35/194,228/517 is 215460

Greatest Common Factor of 333,194,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,194,517 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 333,194,517 . The biggest common factor number is the GCF number.
So the greatest common factor 333,194,517 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 81/333, 35/194, 228/517

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 81/333, 35/194, 228/517?

Answer: LCM of Numerators as per given numbers 81/333, 35/194, 228/517 is

LCM of Numerators i.e. for 81,35,228 is 215460

GCF of denominators i.e. for 333,194,517 is 1.

Thus, LCM of Fractions is 215460.Finally, LCM of Fractions for 81/333, 35/194, 228/517 is 215460.