Least Common Multiple of 189/13, 560/2016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/13, 560/2016 quickly i.e. 15120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/13, 560/2016 is 15120.

LCM(189/13, 560/2016) = 15120

LCM of 189/13, 560/2016

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 189/13,560/2016

Given numbers are 189/13,560/2016

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 189,560

Least Common Multiple of Numerators i.e. LCM of 189,560 is 15120.

GCF of Denominators means GCF of 13,2016 as per the given fractions.

GCF of 13,2016 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,560

LCM of Fractions 189/13,560/2016 is 15120

7 189, 560
27, 80

∴ So the LCM of the given numbers is 7 x 27 x 80 = 15120

Least Common Multiple of 189,560 with GCF Formula

Least Common Multiple of 189,560 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 189,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,560) = 7

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

GCF(189,560) x common factors =7 x 1 = 7

LCM(189,560) = ( 189 × 560 ) / 7

LCM(189,560) = 105840 / 7

LCM(189,560) = 15120


Lets's calculate GCF of 13,2016

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15120/1

Therefore the LCM of Fractions 189/13,560/2016 is 15120

Greatest Common Factor of 13,2016 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,2016 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016

Greatest Common Factor

We found the factors 13,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 13,2016 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 189/13, 560/2016

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 189/13, 560/2016?

Answer: LCM of Numerators as per given numbers 189/13, 560/2016 is

LCM of Numerators i.e. for 189,560 is 15120

GCF of denominators i.e. for 13,2016 is 1.

Thus, LCM of Fractions is 15120.Finally, LCM of Fractions for 189/13, 560/2016 is 15120.