Question

Write the greatest 4 digit number which is divisible by 18 24 32 and find the LCM.

Answer 1

The greatest 4 digit number divisible by 18, 24 and 32 is 9504 and

LCM is 864

Answer 2

LCM of 18, 24, 32 =
$18 = 2 \times 3 \times 3 \\ 24 = 2 \times 2 \times 2 \times 3 \\ 32 = 2 \times 2 \times 2 \times 2 \times 2 \\ therefore \: lcm = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \\ = 288$
So, LCM = 288,
4 - Digit LCM = 288 × 4 = 1152.