Least Common Multiple of 144/21, 512/8688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/21, 512/8688 quickly i.e. 1536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/21, 512/8688 is 1536.

LCM(144/21, 512/8688) = 1536

LCM of 144/21, 512/8688

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 144/21,512/8688

Given numbers are 144/21,512/8688

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 144,512

Least Common Multiple of Numerators i.e. LCM of 144,512 is 4608.

GCF of Denominators means GCF of 21,8688 as per the given fractions.

GCF of 21,8688 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,512

LCM of Fractions 144/21,512/8688 is 1536

2 144, 512
2 72, 256
2 36, 128
2 18, 64
9, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 9 x 32 = 4608

Least Common Multiple of 144,512 with GCF Formula

Least Common Multiple of 144,512 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 144,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,512) = 16

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

GCF(144,512) x common factors =16 x 1 = 16

LCM(144,512) = ( 144 × 512 ) / 16

LCM(144,512) = 73728 / 16

LCM(144,512) = 4608


Lets's calculate GCF of 21,8688

3 21, 8688
7, 2896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4608/3

Therefore the LCM of Fractions 144/21,512/8688 is 1536

Greatest Common Factor of 21,8688 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,8688 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 8688

List of positive integer factors of 8688 that divides 8688 without a remainder.

1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688

Greatest Common Factor

We found the factors 21,8688 . The biggest common factor number is the GCF number.
So the greatest common factor 21,8688 is 3.


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 144/21, 512/8688

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 144/21, 512/8688?

Answer: LCM of Numerators as per given numbers 144/21, 512/8688 is

LCM of Numerators i.e. for 144,512 is 4608

GCF of denominators i.e. for 21,8688 is 3.

Thus, LCM of Fractions is 1536.Finally, LCM of Fractions for 144/21, 512/8688 is 1536.