Question

if HCF of PQ = 12 and p × Q equal to 1800 into n Where n belongs to natural number then LCM of PQ is??

Answer 1

LCM x HCF = Product of two numbers = P x Q
LCM x 12 = 1800
:. LCM = 1800/12
= 150

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Answer 2

Answer:

The LCM of P and Q is 150n

Step-by-step explanation:

Given that if HCF of P and Q is 12 and P × Q equal to 1800 into n

we have to find the LCM of P and Q

HCF(P,Q)=12

Product of two numbers is $1800\times n$

The relation between HCF and LCM is

$LCM(P,Q)=\frac{P\times Q}{HCF(P,Q)}$

$LCM(P,Q)=\frac{1800\times n}{12}$

$LCM(P,Q)=150n$

The LCM of P and Q is 150n