Question

If the product of two numbers is 1080 and their HCF is 30, find their LCM.

Answer 1

SOLUTION :  

GIVEN : Product of two numbers is 1080 & HCF is 30.  

Let the two numbers be p & q .

Therefore , p × q = 1080

We know that,  

HCF × LCM = first number × second number

HCF × LCM = p × q

30 × LCM = 1080

LCM = 1080/30

LCM = 108/3 = 36

LCM = 36  

Hence, the LCM is 36.  

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Answer 2

Given :

Product of two numbers = 1080

HCF = 30.


PRODUCT OF TWO NUMBERS = HCF X LCM


$let \: lcm \: = x$

keeping the values


$1080 = 30 \times x$

$1080 = 30x$


$x = \dfrac{1080}{30}$

$x = 36$

$\bold{Answer : \: LCM \: = 36}$