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If HCF of p and q is x and q = xy, then the LCM of p and q is = ?

1pq
2qy
3xy
4py

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Product of numbers \\ =  HCF \times LCM \\ \Rightarrow p q = x \times LCM \\ \Rightarrow LCM = \frac{p q}{x} \\ = \frac{p (x y)}{x} = p y \end{aligned}

$\eqalign{ & {\text{Product of numbers}} \cr & {\text{ = HCF}} \times {\text{LCM}} \cr & \Rightarrow pq = x \times {\text{LCM}} \cr & \Rightarrow {\text{LCM}} = \frac{{pq}}{x} \cr & = \frac{{p\left( {xy} \right)}}{x} = py \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Product of numbers \\ =  HCF \times LCM \\ \Rightarrow p q = x \times LCM \\ \Rightarrow LCM = \frac{p q}{x} \\ = \frac{p (x y)}{x} = p y \end{aligned}

$\eqalign{ & {\text{Product of numbers}} \cr & {\text{ = HCF}} \times {\text{LCM}} \cr & \Rightarrow pq = x \times {\text{LCM}} \cr & \Rightarrow {\text{LCM}} = \frac{{pq}}{x} \cr & = \frac{{p\left( {xy} \right)}}{x} = py \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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