Question

the product of two numbers is 180 , H. C . F is 3 do what is the L . C . M​

Answer 1

Answer:

Step-by-step explanation:

PRODUCT OF TWO NUMBER÷HCF=LCM

180÷3=60 so 60 is the LCM OF NUMBER

Answer 2

$\bf Given \begin{cases} & \sf{HCF\;of\;two\;numbers = \bf{3}} \\ & \sf{Product\;of\;two\;numbers = \bf{180}} \end{cases}$

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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$:\implies\sf LCM \times 3 = 180$

$:\implies\sf LCM = \cancel{ \dfrac{180}{3}}$

$:\implies{\boxed{\frak{\pink{LCM = 60}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;the\;LCM\;of\;two\;numbers\;is\; \bf{60}.}}}$

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

• LCM (Least common multiple) = The number which is exactly divisible by two or more numbers.

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• HCF (Highest common factor) = The greatest factor present in between given two or more numbers.