Question

Can two numbers have 12 as their HCF and 512 as their LCM? Justify your answer

​

Answer 1

Step-by-step explanation:

product of two number is equal.to the product of HCF and lcm

Answer 2

Answer:

No

Step-by-step explanation:

Explanation -

Given :

HCF = 12

LCM = 512

let the first number = 12x

let the second number = 12y

Product of two numbers = HCF x LCM

(12x) x (12y) = 12×512

144xy = 6144

xy = 6144/144

xy = 42.66

Hence :

"xy" is not an exact value . So, two numbers cannot have 12 as their HCF and 512 as their LCM.