Question

The lcm and hcf of two numbers are 2970 and 30 reapectively. Prime factors of the product of two numbers are:

Answer 1

Here we are given that:

LCM of two numbers is 2970

and

HCF of two numbers is 30

Now we know that :

Product of HCF and LCM of two numbers equals product of two numbers.

So let us say the first number is x and the second number is y.

$HCF*LCM=x*y$

Plugging the values of HCF and LCM ,

$2970*30=x*y$

x*y=89100

So product of the two numbers is 89100.

Now let us find prime factors of 89100.

The prime factors of 89100 are :

2, 3 , 5 and 11

Answer: The prime factors of product of two number that is 89100 are 2, 3, 5 and 11.

Answer 2

Thank you for asking this question: Here is your answer:

Solution is 2,3,5,11

Factors of [2970] = 2*3*5*3*3*11

Factors of [30] =     2*3*5HCF = 2*3*5 = 30

LCM = 2*3*5*32*11 = 30*99 = 2970

2970 = 2 * 5 * 3 * 3 * 11

30 = 2*3*5

LCM of the two numbers  = 2*3*3*3*5*11 = 2970

So the prime factors are = 2,3,5,11

The correct answer is option A