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# Find the least number of 5 digit that is exactly divisible by 16,18,24 and 30

**Solution:**

To find the least number which exactly divisible by 16 , 18 , 24 , 30 we have to LCM

LCM of 16 , 18 , 24 , 30

Multiples of 16 - 16 , 32 , 48 , 64 , 80 ..........720.....

Multiples of 18 - 18 , 36 , 54 , ..........720....

Multiples of 24 - 24 , 48 , 72 .......720.....

Multiples of 30 - 30 , 60 , 90 .........720....

LCM of 16 , 18 , 24 , 30 is 720

but 720 is the 3 digit number. We have to find the least 5 digit number that is divisible by 16 , 18 , 24 , 30

Least digit number is 10000

divide 10000 by 720

$\frac{10000}{720}$ = 13.8

Next whole number is 14

So multiply 720 by 14

720 $\times$ 14 = 10080.

**So, 10080 is the least 5 digit number that is divisible by 16 , 18 , 24 , 30**

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