Find the least number of 5-digits which is exactly divisible by 15,18 and 24.
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Answer:
least number is lcm of 15,18 and 24
=3×2×5×3×2×2
=360
we know the least 5 digit number is 10000
divide this number by 360
=> 10000/360= 27 28/36
quotient is 27 and remainder is 28.
so the number which is exactly divisible by 360 is
(10000-28) =9972
Now in this number we add 360, which is required
least 5 digit number which is exactly divisible by 15,18 and 24.
So the least 5 digit number is =9972+360=10332
10332
So this is the required answer
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