Least Common Multiple of 288/63, 419/2160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/63, 419/2160 quickly i.e. 13408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/63, 419/2160 is 13408.

LCM(288/63, 419/2160) = 13408

LCM of 288/63, 419/2160

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 288/63,419/2160

Given numbers are 288/63,419/2160

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 288,419

Least Common Multiple of Numerators i.e. LCM of 288,419 is 120672.

GCF of Denominators means GCF of 63,2160 as per the given fractions.

GCF of 63,2160 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,419

LCM of Fractions 288/63,419/2160 is 13408

Given numbers has no common factors except 1. So, there LCM is their product i.e 120672

Least Common Multiple of 288,419 with GCF Formula

Least Common Multiple of 288,419 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 288,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,419) = 1

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

GCF(288,419) x common factors =1 x 1 = 1

LCM(288,419) = ( 288 × 419 ) / 1

LCM(288,419) = 120672 / 1

LCM(288,419) = 120672


Lets's calculate GCF of 63,2160

3 63, 2160
3 21, 720
7, 240

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120672/9

Therefore the LCM of Fractions 288/63,419/2160 is 13408

Greatest Common Factor of 63,2160 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,2160 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 2160

List of positive integer factors of 2160 that divides 2160 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160

Greatest Common Factor

We found the factors 63,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 63,2160 is 9.


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 288/63, 419/2160

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 288/63, 419/2160?

Answer: LCM of Numerators as per given numbers 288/63, 419/2160 is

LCM of Numerators i.e. for 288,419 is 120672

GCF of denominators i.e. for 63,2160 is 9.

Thus, LCM of Fractions is 13408.Finally, LCM of Fractions for 288/63, 419/2160 is 13408.