Question

The product of two digit numbers is 400 and the GCD is 16 .What is their LCM?. Single choice.
(2 Points)
25
24
23
16​

Answer 1

Answer:

Given :-

• Product = 400
• GCD = 16

To Find :-

LCM

Solution :-

As we know that

LCM × HCF = Product of two numbers

Let the LCM be x

$\sf \: 16 \times x = 400$

$\sf \: 16x = 400$

$\sf \: x = \dfrac{400}{16}$

$\sf \: x \: = 25$

Hence :-

Option A is correct

Answer 2

Answer:

Given :-

• The product of two digits number is 400 and the GCD is 16.

To Find :-

• What is the LCM.

Solution :-

Let, the LCM be x

Given :

• Product of two numbers = 400
• GCD or HCF = 16

We know that,

✪ HCF × LCM = Product of two number

According to the question by using the formula we get,

⇒ $\sf 16 \times x =\: 400$

⇒ $\sf 16x =\: 400$

⇒ $\sf x =\: \dfrac{\cancel{400}}{\cancel{16}}$

➠ $\sf\bold{\red{x =\: 25}}$

$\therefore$ The LCM of the number is 25 . Hence, the correct options is option no 1) 25.

$\rule{300}{1.5}$

Let's Verify :-

↦ $\sf 16 \times x =\: 400$

↦ $\sf 16x =\: 400$

Put x = 25 we get,

↦ $\sf 16(25) =\: 400$

↦ $\sf 400 =\: 400$

➦ LHS = RHS

Hence, Verified ✔