Least Common Multiple of 320/16, 570/5935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/16, 570/5935 quickly i.e. 18240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/16, 570/5935 is 18240.

LCM(320/16, 570/5935) = 18240

LCM of 320/16, 570/5935

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 320/16,570/5935

Given numbers are 320/16,570/5935

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 320,570

Least Common Multiple of Numerators i.e. LCM of 320,570 is 18240.

GCF of Denominators means GCF of 16,5935 as per the given fractions.

GCF of 16,5935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,570

LCM of Fractions 320/16,570/5935 is 18240

2 320, 570
5 160, 285
32, 57

∴ So the LCM of the given numbers is 2 x 5 x 32 x 57 = 18240

Least Common Multiple of 320,570 with GCF Formula

Least Common Multiple of 320,570 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 320,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,570) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(320,570) x common factors =10 x 1 = 10

LCM(320,570) = ( 320 × 570 ) / 10

LCM(320,570) = 182400 / 10

LCM(320,570) = 18240


Lets's calculate GCF of 16,5935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18240/1

Therefore the LCM of Fractions 320/16,570/5935 is 18240

Greatest Common Factor of 16,5935 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,5935 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 5935

List of positive integer factors of 5935 that divides 5935 without a remainder.

1,5,1187,5935

Greatest Common Factor

We found the factors 16,5935 . The biggest common factor number is the GCF number.
So the greatest common factor 16,5935 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 320/16, 570/5935

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 320/16, 570/5935?

Answer: LCM of Numerators as per given numbers 320/16, 570/5935 is

LCM of Numerators i.e. for 320,570 is 18240

GCF of denominators i.e. for 16,5935 is 1.

Thus, LCM of Fractions is 18240.Finally, LCM of Fractions for 320/16, 570/5935 is 18240.