Math, asked by rwtkajal880, 7 months ago

find the smallest number of 5 digit which is exectly divisible by 12 , 24,48,60,96​

Answers

Answered by ayushjha187100
0

Answer:

100801 is the correct answer.

Answered by atreyaaavs
0

Answer:10080.

Step-by-step explanation:

Answer:10080

Step-by-step explanation:

Find the smallest number of 5 digits which is exactly divisible by 12, 24,48,60 and 96​

12 = 2 x 2 x 3 = 2^2 x 3

24 = 2 x 2 x 2 x 3 = 2^3 x 3

48 = 2 x 2 x 2 x 2 x 3 = 2^4 x 3

60 = 2 x 2 x 3 x 5 = 2^2 x 3 x 5

96 = 2 x 2 x 2 x 2 x 2 x 3 = 2^5 x 3

LCM (12, 24, 48, 60, 96 ) =  2^5 x 3 x 5 = 32 x 3 x 5 =96 x 5 = 480

∴  Required smallest 5-digit number which is divisible by 12, 24,48,60 and 96​   =  21 x 480 = 10080

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