Question

the HCF of two number is 28 and their LCM is 336 if one number is 112 then the other number is what ​

Answer 1

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

One Number = 112

LCM = 336

HCF = 28

${\boxed{\sf\:{Assume\;the\;other\;number\;be\;p}}}$

★We know that :-

LCM × HCF = Product of two numbers

★Hence,

28 × 336 = 112 × p

9408 = 112 × p

$\tt{\rightarrow\dfrac{9408}{112} = p}$

p = 84

${\boxed{\sf\:{Hence\;the\;other\;number\;is\;84}}}$

$\Large{\boxed{\sf\:{Additional\; Information}}}$

→In case :-

★Three positive integers a,b,c

★HCF(a,b,c) × LCM(a,b,c) ≠ a × b × c

$\tt{\rightarrow LCM(a,b,c)=\dfrac{a\times b\times c\times HCF (a,b,c)}{HCF(a,b)\times HCF(b,c)\times HCF(a,c)}}$

$\tt{\rightarrow HCF(a,b,c)=\dfrac{a\times b\times c\times LCM (a,b,c)}{LCM(a,b)\times LCM(b,c)\times LCM(a,c)}}$

Answer 2

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