Question

5. Find the lowest number which is exactly divisible by 14 and 16.

Answer 1

112

Explanation:

Find the lowest common multiple of 14 and 16.

To find the lowest common multiple:

1) Break the numbers down into their prime factors.

14 =
`2^(1)` x
`7^(1)`

16 = 2 x 8 = 2 x 2 x 4 = 2 x 2 x 2 x 2 =
`2^(4)`

2) Multiply the highest power of each prime number.

We have three numbers, but only two are unique:
`2^(1)` ,
`7^(1)` and
`2^(4)`

`2^(4)` >
`2^(1)` , so we will use
`2^(4)`

`7^(1)` x
`2^(4)` = 7 x 16 = 112