Math, asked by Moazzam1300, 1 year ago

Find the smallest 4 digit number which is exactly divisible by 32 36 and 48

Answers

Answered by YASH3100
17
HEYA!!!


HERE IS YOUR ANSWER,


=> PRIME FACTORIZATION METHOD

=> 32 = 2 x 2 x 2 x 2 x 2
=> 36 = 2 x 2 x 3 x 3 
=> 48 = 2 x 2 x 2 x 2 x 3

=> LCM OF 32 , 36 AND 48 IS

=> 2 x 2 x 2 x 2 x 2 x 3 x 3 =288

=> The smallest four digit number that is divisible by 288:

=> 288 x 4 = 1152

=> Since 288 is divisible by 32, 36 and 48, 1152 is also divisible by all these numbers.

=> Therefore, 1152 is the smallest four digit number divisible by 32, 36 and 48.


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