Question

चार अंको की वह सबसे छोटी संख्या ज्ञात कीजिये जो 18, 24 और 32 से विभाज्य हो।​

Answer 1

Taking L. C. M of 18 ,24,32 is 248

Answer 2

1152 is the smallest 4 digit number which is completely divisible by 18, 24 and 32.

Step-by-step explanation:

Consider the provided information.

First find the L. C. M of 18 ,24,32.

18 = 2 × 3 × 3

24 = 2 × 2 × 3

32 = 2 × 2 × 2 × 2 × 2

LCM =  2 × 2 × 2 × 2 × 2 × 3 × 3 = 288

The smallest 4 digit number is 1,000.

Now divide 1000 with 288

$\frac{1000}{288} \approx3.47$

That means the smallest 4 digit number which is divisible by 288 is 288×4=1152

Hence, 1152 is the smallest 4 digit number which is completely divisible by 18, 24 and 32.

#Learn more

Find the smallest number of 5-digit which is exactly divisible by 312

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