The H.C.F of two numbers 9 and 12 is 3. Find its L.C.M.

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Solution

The correct option is C
36

Given numbers are 9 and 12.

The product of L.C.M and H.C.F of any two numbers is equal to the product of the numbers.

i.e.,L.C.M of 9 and 12 $\times$ H.C.F of 9 and 12 = product of 9 and 12.

$∴$ L.C.M of 9 and 12 = $\frac{p r o d u c t o f 9 a n d 12}{H . C . F o f 9 a n d 12}$

Given, H.C.F of 9 and 12 = 3

Product of 9 and 12 = 9 $\times$ 12= 108

$\Rightarrow$ L.C.M of 9 and 12 = $\frac{108}{3}$ = 36

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