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Product of Two Numbers = HCF X LCM of the Two Numbers

The product o...

Question

The product of two numbers is $2160$ and their HCF is $12$ . The LCM of these numbers is
(a) $12$
(b) $25920$
(c) $180$
(d) none of these

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Solution

(c) $180$

Here, H.C.F. $= 12$
Product of two numbers $= 2160$

We know:
L.C.M. $\times$ H.C.F. $=$ Product of the two numbers

L.C.M. $= 2160 \div$ H.C.F.
$= 2160 \div 12$
$= 180$
L.C.M. $= 180$

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