# if the lcm of a and 18 is 36 and the hcf of a and 18 is 2 then find the value of a.

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## If lcm of a and 18 is 36 and the HCF of a and 18 is 2, then the value of a is [solved]

The LCM(least common multiple) and HCF(highest common factor) are connected with an empirical formula: LCM(a,b) × HCF(a,b) = Product of the numbers a and b. The value of a is 4.

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## If lcm of a and 18 is 36 and the HCF of a and 18 is 2, then the value of a is?

The LCM (least common multiple) and HCF(highest common factor) are connected with an empirical formula: LCM(a,b) × HCF(a,b) = Product of the numbers a and b

## Answer: The value of a is 4.

Let's find the value of a.

**Explanation:**

Given that, LCM (a, 18) is 36 and HCF (a,18) is 2. One of the numbers is known to us as 18.

So, by applying the formula: LCM × HCF = a × 18

36 × 2 = a × 18 72 = 18(a) 18a = 72 a = 72/18 = 4.

### Hence, the value of a is 4.

## If LCM of a and 18 is 36 and HCF of a and 18 is 2 then value a will be:

Click here👆to get an answer to your question ✍️ If LCM of a and 18 is 36 and HCF of a and 18 is 2 then value a will be:

Question

## If LCM of a and 18 is 36 and HCF of a and 18 is 2 then value a will be:

**A**

## 1

**B**

## 2

**C**

## 5

**D**

## 4

Medium Open in App Solution Verified by Toppr

Correct option is D)

Since two numbers are and 18H.C.F =2 L.C.M =36

Product of both = H.C.F × L.C.M

a×18=2×36 a=4

Hence, correct choice is (d).

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Guys, does anyone know the answer?