West Bengal Board Solutions for Chapter: Hcf and Lcm of Three Numbers, Exercise 3: Exercise 3

The taps of $3$ basins of our school have developed some defects. Water keeps dripping even after taps are turned off. It has been found that water drops from first, second and third tap, at an interval of $4 \sec ,5 \sec$ and $6 \sec$ respectively. Today at $7$ in the morning water dropped together from the $3$ taps. Let us find out when again will water from the $3$ taps drop together.

Let's try to find a number, which will be divisible by $6,8,10$ and $12$ and will lie between $300$ and $500$.

Let's find the least number divisible by $7$ which when divided by $8,12$ and $16$ will leave a remainder $3$ in each case.