Question

find the smallest 4 digit number which is divided by 18,24and 32? with step by step explanation?

Answer 1

smallest four digit number is 1152 .
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Answer 2

Step 1 : Find the prime factors of 18, 24 and 32

18 = 2 × 3 × 3

24 = 2 × 2 × 3 × 2

32 = 2 × 2 × 2 × 2 × 2

Step 2 : Find their LCM

Common factors = 2 × 2 × 2 × 2 × 2 × 3 × 3

∴ LCM = 288

Step 3 : Multiply the LCM with 4

We will multiply the LCM by 4 because we have to find the 4 digit number

288 × 4 = 1152

∴ The four digit number is 1152