The product of two numbers is 216. If the HCF is 6, then their LCM is :
Q. The product of two numbers is 216. If the HCF is 6, then their LCM is :
Answer: 36
Notes: Let the numbers be 6x and 6y where x and y are prime to each other. $latex \therefore 6x \times 6y = 216$ $latex => xy = \frac{216}{6\times 6} = 6&s=1$ $latex \therefore LCM = 6xy = 6 \times 6 = 36$ Hence option [C] is the right answer.