Question

The HCF of 306 and 657 is 9. Their LCM is option is (1)306 (2)657 (3)22338 (4)1​

Answer 1

AnswEr :

ɢɪᴠᴇɴ:

$\qquad\bullet\normalsize\sf\ H.C.F. = 9$

$\qquad\bullet\normalsize\sf\ \: \left( a,b \right) = \left( 306,657 \right)$

ᴛᴏ ғɪɴᴅ:

$\qquad\bullet\normalsize\sf\ L.C.M$

sᴏʟᴜᴛɪᴏɴ:

$\underline{\bigstar\:\sf{According \: to \: given \: in \: question:}}$

$\normalsize\ : \implies\sf\ H.C.F \times\ L.C.M = a \times\ b$

Put the known values;

$\normalsize\ : \implies\sf\ 9 \times\ L.C.M = 306 \times\ 657$

$\normalsize\ : \implies\sf\ L.C.M = \frac{ 306 \times\ 657}{9}$

$\normalsize\ : \implies\sf\ L.C.M = 22338$

$\normalsize\ : \implies{\underline{\boxed{\mathsf \pink{ L.C.M = 22338}}}}$

$\therefore\:\underline{\textsf{Hence, \: the \: correct \: option \: is}{\textbf{\: (a)}}}$

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ᴠᴇʀɪғɪᴄᴀᴛɪᴏɴ:

$\normalsize\ : \implies\sf\ H.C.F \times\ L.C.M = a \times\ b$

$\normalsize\ : \implies\sf\ 9 \times\ 22338 = 306 \times\ 657$

$\normalsize\ : \implies\sf\ 201,042 = 201,042$

$\normalsize\ : \implies\sf\ L.H.S. = R.H.S$

$\qquad$$\underline{\dag\:\bf{Hence, \: Verified}}$