Question

• The product of two number is 48. If their HCF is 2, then what is their LCM?
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Answer 1

Answer:

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Step-by-step explanation:

Answer: protect of two number = 48 HCF = 2LCM = the protect of two number HCFLCM ... The product of two number is 48 if hcf is 2 then the LCM is. 2 ... The length of a rectangular field is twice its breadth.

Answer 2

Answer:

Given :-

• The product of two numbers is 48 and their HCF is 2.

To Find :-

• What is their LCM.

Solution :-

Let, the LCM be x

As we know that,

✯ HCF × LCM = Product of two numbers

Given :

• HCF = 2
• Product of two numbers = 48

According to the question by using the formula we get,

⇒ $\sf 2 \times x =\: 48$

⇒ $\sf 2x =\: 48$

⇒ $\sf x =\: \dfrac{\cancel{48}}{\cancel{2}}$

➠ $\large\bf{\underbrace{\purple{x =\: 24}}}$

$\therefore$ The LCM of the number is 24 .

${\red{\boxed{\large{\bold{VERIFICATION :-}}}}}$

↦ $\sf 2 \times x =\: 48$

By putting x = 24 we get,

↦ $\sf 2 \times 24 =\: 48$

↦ $\sf 48 =\: 48$

➦ LHS = RHS

Hence, Verified ✔