Why do this problem?
requires logical thinking about factors and much multiplication! Learners must first find out what is the lowest number which divides exactly by all the numbers from $2$ to $10$ and then decide how this helps to answer the question asked. A calculator could be useful for checking.
How are you going to start on this problem?
Why not start by listing all the numbers from $2$ to $10$?
Which numbers do you not need because they are factors of other numbers you are using?
Learners could find the lowest number which always leaves a remainder of $1$ when divided by any of the numbers from $2$ to $12$, or $2$ to $20$, etc.
Suggest starting by finding the lowest number which divides exactly by all the numbers from $2$ to $6$. A calculator might be very helpful.