Question

3. The product of two numbers is 216. If their HCF is 6, then their LCM is
(B) 210
(C) 222 (D) 1296
(A) 3
hey guys please give me step by step explanation plz ​

Answer 1

Answer:

The product of two numbers is 216. If the HCF is 6, then their LCM is :

[A]46

[B]48

[C]36

[D]76

36

Let the numbers be 6x and 6y where x and y are prime to each other.

\therefore 6x \times 6y = 216

=> xy = \frac{216}{6\times 6} = 6

\therefore LCM = 6xy = 6 \times 6 = 36

Hence option [C] is the right answer.

Step-by-step explanation:

hope it helps

Answer 2

This will be the ANSWER.

Step-by-step explanation:

HCF×LCM=216

6×LCM=216

LCM=216÷6=36