find the smallest 4 digit number which is exactly divisible by 32 36 and 48
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Answer:
Step-by-step explanation:
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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