Question

What is the least number which can be divided exactly by 24, 40 and 56?​

Answer 1

Answer:

LCM of 24 ,30 , and 54 is the smallest number divisible by the three numbers. If you add 5 to the LCM, the new number will be the smallest number to give a remainder of 5 when when divided by any of the three numbers.

To find the LCM ( lowest common multiple) of the numbers , express each number as product of factors.

24 = 2*2*2*3

30 = 2*3*5

54 = 2*3*3*3

LCM = 2*3*2*2*5*3*3 =1080

(Factors that are common to all the three numbers are taken only once)

So the required number is 1080+5=1085