Least Common Multiple of 16/198, 68/393, 225/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/198, 68/393, 225/183 quickly i.e. 20400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/198, 68/393, 225/183 is 20400.

LCM(16/198, 68/393, 225/183) = 20400

LCM of 16/198, 68/393, 225/183

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 16/198,68/393,225/183

Given numbers are 16/198,68/393,225/183

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 16,68,225

Least Common Multiple of Numerators i.e. LCM of 16,68,225 is 61200.

GCF of Denominators means GCF of 198,393,183 as per the given fractions.

GCF of 198,393,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,68,225

LCM of Fractions 16/198,68/393,225/183 is 20400

2 16, 68, 225
2 8, 34, 225
4, 17, 225

∴ So the LCM of the given numbers is 2 x 2 x 4 x 17 x 225 = 61200

Least Common Multiple of 16,68,225 with GCF Formula

Least Common Multiple of 16,68,225 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 16,68,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,68,225) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(16,68,225) x common factors =1 x 4 = 4

LCM(16,68,225) = ( 16 × 68 × 225 ) / 4

LCM(16,68,225) = 244800 / 4

LCM(16,68,225) = 61200


Lets's calculate GCF of 198,393,183

3 198, 393, 183
66, 131, 61

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61200/3

Therefore the LCM of Fractions 16/198,68/393,225/183 is 20400

Greatest Common Factor of 198,393,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,393,183 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 198,393,183 . The biggest common factor number is the GCF number.
So the greatest common factor 198,393,183 is 3.


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 16/198, 68/393, 225/183

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 16/198, 68/393, 225/183?

Answer: LCM of Numerators as per given numbers 16/198, 68/393, 225/183 is

LCM of Numerators i.e. for 16,68,225 is 61200

GCF of denominators i.e. for 198,393,183 is 3.

Thus, LCM of Fractions is 20400.Finally, LCM of Fractions for 16/198, 68/393, 225/183 is 20400.