Q) The least number that is divisible by all the numbers from 1 to 10 ( both inclusive ) is

• 1) 10
• 2) 100
• 3) 504
• 4) 2520

we have to find the LCM of numbers from 1 to 10.
we will first see the multiples of numbers from 1 to 10,
1 = 1 , 2= 2 , 3 = 3 , 4 = 2 * 2 , 5 = 5 , 6 = 2 * 3 , 7 = 7 , 8 = 2 * 2 * 2 . 9 = 3 * 3 , 10 = 2 * 5
LCM of all numbers 1 to 10 = 1 * 2 * 3 * 2 * 5 * 7 * 2 * 3 = 2520