Question

if the product of two numbers is 4032 and their HCF is 12 find their LCM​

Answer 1

a x b = 4032
HCF = 12
LCM = ?

HCF x LCM = product of two numbers
HCF x LCM = a x b
12 x LCM = 4032
LCM = 4032/12
LCM = 336

Hope this helps you
Mark me as a brainlist please ❤️❤️
Bye ☺️

Answer 2

Answer :-

• The LCM of the two numbers = 336.

To find :-

• The number.

Step-by-step explanation :-

• Here, it is given that the product of two numbers is 4032  and their HCF is 12. We have to find their LCM.

We know that :-

$\bigstar \: \underline{\boxed{\sf Product_{(two \: numbers)} = HCF \times LCM}}$

Substituting the given values in this formula :-

$\longrightarrow \tt 4032 = 12 \times LCM$

$\longrightarrow \tt \cancel{\dfrac{4032}{12}} = LCM$

$\longrightarrow \tt 336 = LCM$

Thus :-

• The LCM of the numbers is 336.

________________________________

Verification :-

$\bigstar$ Product of two numbers = HCF × LCM  

So, to check our answer, let's see if the product of these two numbers is equal to the product of their LCM and HCF.

LHS :

$\longrightarrow$ Product of the two numbers

$\longrightarrow$ 4032

RHS :

$\longrightarrow$ HCF × LCM

$\longrightarrow$ 336 × 12

$\longrightarrow$ 4032

LHS = RHS

Hence verified!!

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬