Question

The HCF of two numbers is 4 and their LCM is 168. If the first number is 12, find the other number.

Answer 1

Solution :-

Given ,

• HCF = 4
• LCM = 168
• First number = 12

We need to find ,

• Second number

As we know that,

• Product of numbers = LCM × HCF

Let the second number be ‘x’

Now , substituting the known values

⇒ 12 × ( x ) = LCM × HCF

⇒ 12x = 168 × 4

⇒ x = ( 168 × 4 ) ÷ 12

⇒ x = 168 ÷ 3

⇒ x = 56 = other number .

Hence , the other number = 56.

Answer 2

Answer:

✳️ Given ✳️

$\mapsto$ The H.C.F of two numbers is 4 and their L.C.M is 168. If the first number is 12.

✳️ To Find ✳️

$\mapsto$ What is the value of other number.

✳️ Solution ✳️

➕ Let the second number be x

Given :-

• H.C.F = 4
• L.C.M = 168
• First number = 12

We know that,

$\red\bigstar$ H.C.F × L.C.M = Product of the two numbers $\red\bigstar$

✴️ Putting the value we get,

$\implies$ 4 × 168 = 12 × a

$\implies$ a = $\dfrac{4 × 168}{12}$

$\implies$ a = 56

$\therefore$ The other number will be 56.

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