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Q.

What is the smallest 5 digit number that is exactly divisible by 72 and 108?


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a

10152

b

10153

c

10156

d

10159 

answer is A.

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Detailed Solution

Concept- Finding the  lowest common multiple (L.C.M.) of numbers in order to find the divisibility by the given number.
Let us find the L.C.M of given numbers –> 72 and 108
72 = 2×2×2×3×3
108 = 2×2×3×3×3
LCM  = 2×2×2×3×3×3 = 216
Now divide 10000 by 216 to get 46.296  (round it up to 47)
So, the smallest five digit number divisible by 72 and 108 is 47 ×216 = 10152
Hence, the correct option is 1.
 
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