Least Common Multiple of 16/174, 64/330, 605/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/174, 64/330, 605/404 quickly i.e. 19360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/174, 64/330, 605/404 is 19360.

LCM(16/174, 64/330, 605/404) = 19360

LCM of 16/174, 64/330, 605/404

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 16/174,64/330,605/404

Given numbers are 16/174,64/330,605/404

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 16,64,605

Least Common Multiple of Numerators i.e. LCM of 16,64,605 is 38720.

GCF of Denominators means GCF of 174,330,404 as per the given fractions.

GCF of 174,330,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,64,605

LCM of Fractions 16/174,64/330,605/404 is 19360

2 16, 64, 605
2 8, 32, 605
2 4, 16, 605
2 2, 8, 605
1, 4, 605

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 4 x 605 = 38720

Least Common Multiple of 16,64,605 with GCF Formula

Least Common Multiple of 16,64,605 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 16,64,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,64,605) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(16,64,605) x common factors =1 x 16 = 16

LCM(16,64,605) = ( 16 × 64 × 605 ) / 16

LCM(16,64,605) = 619520 / 16

LCM(16,64,605) = 38720


Lets's calculate GCF of 174,330,404

2 174, 330, 404
87, 165, 202

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38720/2

Therefore the LCM of Fractions 16/174,64/330,605/404 is 19360

Greatest Common Factor of 174,330,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,330,404 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 174,330,404 . The biggest common factor number is the GCF number.
So the greatest common factor 174,330,404 is 2.


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 16/174, 64/330, 605/404

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 16/174, 64/330, 605/404?

Answer: LCM of Numerators as per given numbers 16/174, 64/330, 605/404 is

LCM of Numerators i.e. for 16,64,605 is 38720

GCF of denominators i.e. for 174,330,404 is 2.

Thus, LCM of Fractions is 19360.Finally, LCM of Fractions for 16/174, 64/330, 605/404 is 19360.