The 5 digit greatest number, which is divisible by 12, 18 and 24, is:
(a)99996
(b)99972
(c)99936
(d)99960
Answers
SOLUTION
TO CHOOSE THE CORRECT OPTION
The 5 digit greatest number, which is divisible by 12, 18 and 24, is
(a)99996
(b)99972
(c)99936
(d)99960
EVALUATION
Here the given numbers are 12 , 18 , 24
Now
12 = 2 × 2 × 3
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
So LCM
= 2 × 2 × 2 × 3 × 3
= 72
Now the greatest 5 digit number = 99999
If we divide 99999 by 72 we get 1388 as Quotient and 63 as Remainder
Hence the required 5 digit greatest number, which is divisible by 12, 18 and 24
= 99999 - 63
= 99936
FINAL ANSWER
Hence the correct option is (c) 99936
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Given:
The 5 digit greatest number, which is divisible by 12, 18 and 24, is:
Solution:
LCM of 12, 18, and 24:
LCM = 2 x 2 x 2 x 3 x 3 = 72
The Greatest 5-digit number is 99999
when we divide the greatest 5-digit number 99,999 by 72 we get 63 as Remainder.
Subtract the remainder 63 from the greatest 5-digit number.
=> 99999 - 63
=> 99936
So, The 5 digit greatest number, which is divisible by 12, 18 and 24, is 99936
Hence, The required answer is 99936
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