Question

Find the least number of five digits that is exactly divisible by 16, 18, 24 and 30​

Answer 1

Step-by-step explanation:

LCM of 16, 18, 24 and 30:

LCM = 24 × 32 × 5 = 720

We have to find the least five-digit number that is exactly divisible by 16, 18, 24 and 30.

But LCM=720 is a three digit number.

The least five digit number = 10000

Dividing 10000 by 720, we get:

720

13

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

)

10000

-

720

28

00

−

2160

640

The greatest four-digit number exactly divisible by 720 = 10000-640

so that 5 digit number is exactly divisible by

720=9360+720=10080