Least Common Multiple of 16/527, 73/595, 284/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/527, 73/595, 284/229 quickly i.e. 82928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/527, 73/595, 284/229 is 82928.

LCM(16/527, 73/595, 284/229) = 82928

LCM of 16/527, 73/595, 284/229

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 16/527,73/595,284/229

Given numbers are 16/527,73/595,284/229

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 16,73,284

Least Common Multiple of Numerators i.e. LCM of 16,73,284 is 82928.

GCF of Denominators means GCF of 527,595,229 as per the given fractions.

GCF of 527,595,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,73,284

LCM of Fractions 16/527,73/595,284/229 is 82928

2 16, 73, 284
2 8, 73, 142
4, 73, 71

∴ So the LCM of the given numbers is 2 x 2 x 4 x 73 x 71 = 82928

Least Common Multiple of 16,73,284 with GCF Formula

Least Common Multiple of 16,73,284 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 16,73,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,73,284) = 1

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

GCF(16,73,284) x common factors =1 x 4 = 4

LCM(16,73,284) = ( 16 × 73 × 284 ) / 4

LCM(16,73,284) = 331712 / 4

LCM(16,73,284) = 82928


Lets's calculate GCF of 527,595,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82928/1

Therefore the LCM of Fractions 16/527,73/595,284/229 is 82928

Greatest Common Factor of 527,595,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,595,229 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 527,595,229 . The biggest common factor number is the GCF number.
So the greatest common factor 527,595,229 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 16/527, 73/595, 284/229

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 16/527, 73/595, 284/229?

Answer: LCM of Numerators as per given numbers 16/527, 73/595, 284/229 is

LCM of Numerators i.e. for 16,73,284 is 82928

GCF of denominators i.e. for 527,595,229 is 1.

Thus, LCM of Fractions is 82928.Finally, LCM of Fractions for 16/527, 73/595, 284/229 is 82928.