Question

Find the least number which is divisible by all the
even numbers between 9 and 15.​

Answer 1

Answer:

420

Step-by-step explanation:

L.C.M of 10,12,14

= 2*5*6*7

=420

Answer 2

Answer:

The least number is 420

Step-by-step explanation:

The numbers between 9 and 15 are 10, 11, 12, 13, 14 and of them 10, 12 and 14 are the even numbers.

In order to find the least number division by 10, 12 and 14, we find the lcm (least common multiple) of theirs.

Now, 10 = 2 × 5,

12 = 2 × 2 × 3 and

14 = 2 × 7

Therefore the lcm of 10, 12 and 14 is

= 2 × 2 × 3 × 5 × 7

= 420

Hence 420 is the least number which is divisible by the even numbers between 9 and 15.