Question

Can two numbers have 13 as their hcf and 1989 as their lcm? Give reasons

Answer 1

Answer:

Yes

Step-by-step explanation:

We many times observed that HCF of any two numbers fully divides the LCM of the given numbers :

Now, On dividing LCM of two numbers by its HCF i.e.,

= 1989/13

= 153 (as a quotient)

So, two numbers can have the HCF as 13 and LCM as 1989.

Answer 2

Answer:

36

Given,

LCM = 180

HCF = 6

1st number = 30

Let 2nd number be x.

LCM × HCF = 1st number × 2nd number

180 × 6 = 30 × x

1080 = 30 × x

x = 1080÷30

x = 36