Question

if a,b 12 hcf and product of a,b 1800 find lcm of a,b​

Answer 1

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H.C.F (a, b)= 12

a * b = 1800

We know,

H.C.F * L.C.M = a * b

L.C.M (a, b) = 1800 / 12

= 150

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Answer 2

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Given ,

The HCF of a and b = 12

Product of a and b = 1800

We know that ,

$\underline{ \large \mathtt{ \fbox{LCM \: ( a \: , b ) = \frac{a × b}{HCF \: ( a \: , \: b )} }}}$

Substitute the values , we obtain

$\hookrightarrow \sf LCM \: ( a \: , b ) = \frac{1800}{12} \\ \\ \hookrightarrow \sf LCM \: ( a \: , b ) = 150$

Hence , the LCM of a and b is 150