Question

the number between 22000 and 23000 that is divisible by each 12,18,21 and 32​

Answer 1

Answer:LCM of {12,18,21,32} = 2016

Therefore, answer is 2016 x 2 = 4032

Step-by-step explanation:

Answer 2

The number between 22000 and 23000 that is divisible by each 12,18,21 and 32​ = 22176

Step-by-step explanation:

We have,

12, 18, 21 and 32​

The number between 22000 and 23000 that is divisible by each 12, 18, 21 and 32​ = ?

The LCM of 12, 18, 21 and 32​

12 = 2 × 2 × 3

18 = 2 × 3 × 3

21 = 3 × 7 and

32 = 2 × 2 × 2 × 2 × 2

The LCM of 12, 18, 21 and 32​ = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7

= 2016

∴ The LCM of 12, 18, 21 and 32​ = 2016K

Put K = 1, 2, 3, 4, 5, 6, .........

The numbers are:

2016, 4032, 6048, 8064, 10080, 12096, 14112, 16128, 18144, 20160, 22176, 24192

∴ The number between 22000 and 23000 that is divisible by each 12,18,21 and 32​ = 22176