Least Common Multiple of 16/825, 339/717, 574/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/825, 339/717, 574/447 quickly i.e. 518896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/825, 339/717, 574/447 is 518896.

LCM(16/825, 339/717, 574/447) = 518896

LCM of 16/825, 339/717, 574/447

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 16/825,339/717,574/447

Given numbers are 16/825,339/717,574/447

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 16,339,574

Least Common Multiple of Numerators i.e. LCM of 16,339,574 is 1556688.

GCF of Denominators means GCF of 825,717,447 as per the given fractions.

GCF of 825,717,447 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,339,574

LCM of Fractions 16/825,339/717,574/447 is 518896

2 16, 339, 574
8, 339, 287

∴ So the LCM of the given numbers is 2 x 8 x 339 x 287 = 1556688

Least Common Multiple of 16,339,574 with GCF Formula

Least Common Multiple of 16,339,574 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 16,339,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,339,574) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,339,574) x common factors =1 x 2 = 2

LCM(16,339,574) = ( 16 × 339 × 574 ) / 2

LCM(16,339,574) = 3113376 / 2

LCM(16,339,574) = 1556688


Lets's calculate GCF of 825,717,447

3 825, 717, 447
275, 239, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1556688/3

Therefore the LCM of Fractions 16/825,339/717,574/447 is 518896

Greatest Common Factor of 825,717,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,717,447 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 825,717,447 . The biggest common factor number is the GCF number.
So the greatest common factor 825,717,447 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 16/825, 339/717, 574/447

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 16/825, 339/717, 574/447?

Answer: LCM of Numerators as per given numbers 16/825, 339/717, 574/447 is

LCM of Numerators i.e. for 16,339,574 is 1556688

GCF of denominators i.e. for 825,717,447 is 3.

Thus, LCM of Fractions is 518896.Finally, LCM of Fractions for 16/825, 339/717, 574/447 is 518896.