Question

The least number which when divided by 8 12 15 and 20 leaves the remainder 1 is

Answer 1

Hello,

Let the number be x
. So,

X-1 is divisible by 8, 12, 15 and 20

So ,
To find x-1
We need to find the lcm of the above mentioned numbers .

So
Lcm of 8, 12, 15, 20 is

2 |8 12 15 20
5 | 4 6 15 10
2 |4 6 3 2
|2 3 3 1


So ,the lcm is
2 *2 *2 *3 *3 *5 = 360

So ,
The number is 360 +1 = 361


Hope this will be helping you