Question

the relation between hcf and lcm of 12 and 20 will be

Answer 1

LCM (12,20) * HCF (12,20) = 12*20 

Answer 2

Solution :-

Relationship between HCF and LCM of any given numbers -

1) The HCF of any set of numbers is smaller than or equal to the smallest number.

2) The LCM of any set of numbers is greater or equal to the largest number.

3) The HCF of any set of numbers is a factor of their LCM and the LCM is a multiple of HCF.

4) Product of LCM and HCF of two given numbers is equal to the product of the numbers.

Let us check it.

LCM of 12 and 20

12 = 2*2*3

20 = 2*2*5

LCM = 2*2*3*5

= 60

HCF of 12 and 20

2*2 

= 4

⇒ LCM × HCF = Product of two given numbers

⇒ 60 × 4 = 12 × 20

⇒ 240 = 240