Ask Question
25 August, 18:43

Produce the least positive number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.

+3
Answers (1)
  1. 25 August, 20:32
    0
    Because all numbers that are divisible by 10 is divisible by 5, all numbers that are divisible by 8 is divisible by 2 and 4, all numbers divisible by 6 is divisible by 2 and 3, we only need to find the smallest common multiple of 6,7,8,9,10 and 11

    find the prime factors of each:

    2,3

    7

    2,2,2,

    3,3,

    2,5,

    11

    factors that are shared can be used only once, so we have:

    2*7*3*11*3*2*5*2=27720
Know the Answer?