Question

Product of two numbers is 324 the hcf is 3 what is their lcm

Answer 1

GiveN:

HCF =3

Pdt of two nos. =324

To find = LCM

HCF × LCM =Pdt of two nos.

3 × LCM = 324

LCM =324/3

LCM=108

Therefore LCM is 108.

Answer 2

$\bf Given \begin{cases} & \sf{HCF\;of\;two\;numbers = \bf{3}} \\ & \sf{Product\;of\;two\;numbers = \bf{324}} \end{cases}$

we have to find, LCM of two numbers

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☯ Let the LCM of two numbers be x.

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We know that,

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$\star\;{\boxed{\sf{\purple{LCM \times HCF = Product\;of\;two\;numbers}}}}$

Now, Putting values,

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$:\implies\sf LCM \times 3 = 324$

$:\implies\sf LCM = \cancel{ \dfrac{324}{3}}$

$:\implies{\boxed{\frak{\pink{LCM = 108}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;the\;LCM\;of\;two\;numbers\;is\; \bf{108}.}}}$

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$\qquad\qquad\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}$

$\sf\green{LCM \: (least \: common \: multiple)}$ Least number which is exactly divisible by two or more numbers.

$\sf\green{HCF \: (Highest \: common \: factor)}$ Highest factor present between two numbers.