Question

Question 9
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

Factors of the numbers from 1 to 10,
$1=1$
$2=1\times 2$
$3=1\times 3$
$4=1\times 2\times 2$
$5=1\times 5$
$6=1\times 2\times 3$
$7=1\times 7$
$8=1\times 2\times 2\times 2$
$9=1\times 3\times 3$
$10=1\times 2\times 5$
The least number that is divisible by the numbers 1 to 10 is the LCM the numbers from 1 to 10 = LCM (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)
$=1\times 2\times 2\times 2\times 3\times 3\times 5\times 7=2520$