Question

if the product of two numbers is 4023 and their HCF is 12 find their LCM​

Answer 1

Answer:

LCM - 355

Step-by-step explanation:

Lets take two number to be 'x' and 'y'

we know that product of numbers is equal to product of HCF and LCM

= x * y = LCM * HCF

4023= LCM * 12 (xy = 4023)

LCM = 4023/12

LCM = 355.25

LCM = 355 app

Answer 2

AnswEr :

• The required LCM = 335.25.

Explanation :

We are given with the product of two numbers as well as HCF, that is,

• Product of two numbers = 4023.

• HCF = 12.

We have to find out their LCM.

⠀_________________________

Now,

Let us consider that, the LCM is "x"$.$

As we are given with product of two numbers and their HCF we know the required formula, that is,

⠀

⠀

→ Product of two given numbers = LCM × HCF.

⠀

⠀

Substituting the given values in the formula,

→ 4023 = x × 12

→ 4023 = 12x

→ 12x = 4023

→ x = 4023/12

→ x = 335.25

Hence, the required LCM is 335.25.

⠀

Verification :

→ Product of two given numbers = LCM × HCF

→ 4023 = 335.25 × 12

→ 4023 = 4023

Clearly, LHS = RHS.

Here both the conditions satisfy, so our answer is correct.

Hence Verified !