Question

Find the least number that is exactly divisible by 16, 24 and 30

Answer 1

Answer:

The smallest 5 digit number which is exactly divisible by 16, 18, 24 and 30 is a multiple of the LCM of the given numbers. Therefore, the smallest 5 digit number which is exactly divisible by 16, 18, 24 and 30 is 10080.

Answer 2

Answer:

To find the number divisible by all the 16,24 and 30 we will use prime factorisation

2 16,24,30

2 8,12,15

2 4,6,15

2 2,3,15

3 1,3,15

5 1,1,5

1,1,1

The numbers we got are 2,2,2,2,3,5

Multiplying

2×2×2×2×3×5=240

So,240 is the number exactly divisible by 16,24 and 30