Question

find the HCF &LCM of 24,36,76

Answer 1

Answer:

factors

24 = 2×2×2×3

36 = 3×3×3×2

76 = 2×2×19

so ,

LCM = highest power = 2×2×2×3×3×3×19 = 4104

HCF = lowest power = 2

Answer 2

$\huge{ \underline{ \mathfrak{ \green{ \: Answer}}}}$

In order to find HCF and LCM , we will first make their factors

$<b><b><b><hr size ="3"></b></b></b>$

${ \mathbb{ \underline{ \blue{Factors \:of \:24}}}}$

$</p><p>\begin{array}{r | l}</p><p></p><p>2 & 24 \\</p><p></p><p>\cline{2-2} 2 & 12 \\</p><p></p><p>\cline{2-2} 2 & 6 \\</p><p></p><p>\cline{2-2} 3 & 3 \\</p><p></p><p>\cline{2-2} & 1 </p><p></p><p>\end{array}</p><p>$

$<b><b><b><hr size ="3"></b></b></b>$

${ \mathbb{ \underline{ \blue{Factors \:of \:36}}}}$

$</p><p>\begin{array}{r | l}</p><p></p><p>2 & 36\\</p><p></p><p>\cline{2-2} 2 & 18\\</p><p></p><p>\cline{2-2} 3 & 9\\</p><p></p><p>\cline{2-2} 3 & 3 \\</p><p></p><p>\cline{2-2} & 1</p><p></p><p>\end{array}</p><p>$

$<b><b><b><hr size ="3"></b></b></b>$

${ \mathbb{ \underline{ \blue{Factors \:of \:76}}}}$

$</p><p>\begin{array}{r | l}</p><p></p><p>2 & 76 \\</p><p></p><p>\cline{2-2} 2 & 38\\</p><p></p><p>\cline{2-2} 19 & 19\\</p><p></p><p>\cline{2-2} & 1 </p><p></p><p>\end{array}</p><p>$

$<b><b><b><hr size ="3"></b></b></b>$

Now,

12 = 2³ × 3

36 = 2² × 3²

76 = 2² × 19

LCM (12 , 36 , 76) = 2³ × 3² × 19 = 1368

HCF (12 , 36 , 76) = 2² = 4