Question

The product of two numbers is 192.if their hcf is 8 then find lcm .solution

Answer 1

lcm of this question is 24..

Answer 2

$If \: \blue {a} \: and \: \pink {b} \: are \: two \\numbers \: their\: H.C.F = h \:and \:LCM = l \:then$

$\boxed { \pink { a \times b = h \times l }}$

$Here, product \:of \:two \: numbers \\= a \times b \\= 192$

$h = 8, \: \: l = \red {?}$

$h \times l = a \times b$

$\implies 8 \times l = 192$

$\implies l = \frac{ 192 }{8}$

$\implies l = 24$

Therefore.,

$\red { LCM \: of \:two \: numbers }\green {= 24}$

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