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

We need to find a number divisible by 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. This is the LCM of these numbers. LCM(1,2,3,4,5,6,7,8,9,10) = 2³ × 3² × 5 × 7 = 8 × 9 × 5 × 7 = 2520. Checking: 2520/1=2520, 2520/2=1260, 2520/3=840, 2520/4=630, 2520/5=504, 2520/6=420, 2520/7=360, 2520/8=315, 2520/9=280, 2520/10=252. All divisions yield whole numbers.