Least Common Multiple of 360/15, 560/71, 324/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/15, 560/71, 324/11 quickly i.e. 45360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/15, 560/71, 324/11 is 45360.

LCM(360/15, 560/71, 324/11) = 45360

LCM of 360/15, 560/71, 324/11

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 360/15,560/71,324/11

Given numbers are 360/15,560/71,324/11

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 360,560,324

Least Common Multiple of Numerators i.e. LCM of 360,560,324 is 45360.

GCF of Denominators means GCF of 15,71,11 as per the given fractions.

GCF of 15,71,11 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,560,324

LCM of Fractions 360/15,560/71,324/11 is 45360

2 360, 560, 324
2 180, 280, 162
2 90, 140, 81
3 45, 70, 81
3 15, 70, 27
5 5, 70, 9
1, 14, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 14 x 9 = 45360

Least Common Multiple of 360,560,324 with GCF Formula

Least Common Multiple of 360,560,324 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 360,560,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,560,324) = 4

common factors(in case of two or more numbers have common factors) = 360

GCF(360,560,324) x common factors =4 x 360 = 1440

LCM(360,560,324) = ( 360 × 560 × 324 ) / 1440

LCM(360,560,324) = 65318400 / 1440

LCM(360,560,324) = 45360


Lets's calculate GCF of 15,71,11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45360/1

Therefore the LCM of Fractions 360/15,560/71,324/11 is 45360

Greatest Common Factor of 15,71,11 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,71,11 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Greatest Common Factor

We found the factors 15,71,11 . The biggest common factor number is the GCF number.
So the greatest common factor 15,71,11 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 360/15, 560/71, 324/11

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 360/15, 560/71, 324/11?

Answer: LCM of Numerators as per given numbers 360/15, 560/71, 324/11 is

LCM of Numerators i.e. for 360,560,324 is 45360

GCF of denominators i.e. for 15,71,11 is 1.

Thus, LCM of Fractions is 45360.Finally, LCM of Fractions for 360/15, 560/71, 324/11 is 45360.