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

Answer: (D)

$2520$

Factors of $4=2\times 2$
Factors of $6=2\times 3$
Factors of $8=2\times 2\times 2$
Factors of $9=3\times 3$
Factors of $10=2\times 5$
All other numbers are prime numbers.
Therefore, L.C.M. of $1,2,3,4,5,6,7,8,9,10$ is
$2\times 2\times 2\times 3\times 3\times 5\times 7=2520$
Correct answer is option $D.$