Question

An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time(in min) after which they will next make a beep together at the earliest is

Answer 1

LCM of $60$ and $62$ will give the time at which both devices beep at same after $10.00am.$

LCM of $60$ and $62$ $=2\times 30\times 31$

$=1860s$

Time at which both devices beep at same time after 10.00 am$=\frac{1860}{60}$

$=31minutes$

Time$=10:31am$