Question

The least number that is divisible by all the numbers from 1 to 10 (both inclusive ) is
(a) 10 (b) 100 (c) 504 (d) 2520

Answer 1

We have,
$$\begin{gathered} 1=1 \\ 2=2 \\ 3=3 \\ 4=2\times 2 \\ 5=5 \\ 6=2\times 3 \\ 7=7 \\ 8=2\times 2\times 2 \\ 9=3\times 3 \\ 10=2\times 5 \end{gathered}$$
∴ LCM of numbers from 1 to 10
= LCM (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)
= 2 × 2 × 2 × 3 × 3 × 5 × 7
= 2520

Hence, the correct answer is option D.