Question

Find the numbers between 400 and 500 that are exactly divisible by 12, 15, and 20.

• A. 420 and 480
• B. 420 and 450
• C. 400 and 420
• D. None of these

Answer 1

The correct option is A 420 and 480

$12=2\times 2\times 3$
$15=3\times 5$
$20=2\times 2\times 5$
L.C.M=$3\times 2^2\times 5=60$
LCM of $12,15,and20=60$
Here,
$60\times 7=420$ and
$60\times 8=480$
lies between $400$ and $500$.