Question

4) Product of two numbers is 7200. If their H.C.F. is 20, then what will be the L.C.M.?


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Answer 1

Answer:

ʜᴇʀᴇ ɪs ᴜʀ ᴀɴsᴡᴇʀ

ᴛʜɴx ᴘᴋs

Answer 2

Question :-

• Product of two numbers is 7200. If their H.C.F. is 20, then what will be the L.C.M.?

$\huge \orange{AηsωeR}✍$

$\large \red{\bf \: ⟼ Given :- } ✍$

• Product of two numbers is 7200.
• HCF of two numbers is 20.

$\large \red{\bf \: ⟼ To Find :-} ✍$

• LCM of two numbers.

$\large \red{\bf \: ⟼ Solution } ✍$

$\bf \: ⟼ Let \: the \: two \: numbers \: be \: a \: and \: b.$

$\begin{gathered}\bf\orange{According\:to\:the\:question,} \end{gathered}$

Product of two numbers = 7200

$\bf \: ⟼ a \times b = 7200 \: ⟼ \: (1)$

$\bf \: ⟼ HCF (a, b) = 20 \: ⟼ \: (2)$

$\begin{gathered}\bf\orange{We \: know} \end{gathered}$

$\begin{gathered}\bf\red{⟼ \: HCF × LCM = a \times b} \end{gathered}$

On substituting the value of HCF and a × b, from (1) and (2), we get

$\bf \: ⟼ 20 \times LCM = 7200$

$\bf \: ⟼ LCM = 360$

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