MATLAB: Code to find the first whole number divisible by 1 to n

divisible by 1 to nfactorialfirst whole numberhomework

Greetings!!! 🙂
Can someone edit the following code to ask a user the number (n)?; where the code could run and find the first whole number divisible by all the numbers from 1 to n. Below example displays the first whole number which is divisible by all the numbers from 1 to 13.
***********
function first_whole_number
i=1;
while i>=0
    if mod(i,2)==0 && mod(i,3)==0 && mod(i,4)==0 && mod(i,5)==0 && mod(i,6)==0 && mod(i,7)==0 && mod(i,8)==0 && mod(i,9)==0 && mod(i,10)==0 && mod(i,11)==0 && mod(i,12)==0 && mod(i,13)==0
        break;
    else
    i=i+1;
    end
end
fprintf('\n\nthe first whole number divisible by 1 to 13 is %d\nThankyou\n\n\n',i);
end
**********
THANKYOU 🙂

Best Answer

the mod function accepts a vector for the second argument, you can use this to check for a sequence of factors, e.g.:
if(any(mod(i,[2:n])))
        i=i+1;
else
        break;
end
However, this can become very slow and you might think about a more mathematical solution instead of checking every number.
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