Question

find hcf and lcm of 36and and 240 ,verify hcf *lcm =products of numbers

Answer 1

36 = 2²×3²

240 = 2^4 ×3×5

hcf = 2²×3 = 12

lcm = 2^4 ×3²×5= 720

product of 240 and 36 = 8640

product of hcf and lcm

12 × 720 = 8640

hence verified

HOPE IT HELPS

Answer 2

$\huge\underline\mathrm\pink{Solution:-}$

Prime Factorization of 36 :

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

$36 = 2 \times 2 \times 3 \times 3$

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Prime Factorization of 240 :

$\begin{array}{r | 1 }</p><p></p><p> 2 & 240 \\</p><p>\cline{1-2} 2 & 120 \\ </p><p>\cline{1-2} 2 & 60 \\ </p><p>\cline{1-2} 2 & 30 \\ </p><p>\cline{1-2} 3 & 15 \\ </p><p>\cline{1-2} 5 & 5 \\ </p><p>\cline{1-2} & 1 </p><p></p><p>\end{array}$

$240 = 2 \times 2 \times 2 \times 2 \times \times 3 \times 5$

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$\large{\bf{\pink{H.C.F \:= 2\times 2\times 3}}}$

$\boxed{\bf{\pink{H.C.F \:= 12}}}$

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$\large{\bf{\blue{L.C.M \:= 2\times 2\times 3\times 3\times 2\times 2\times 5}}}$

$\boxed{\bf{\blue{L.C.M\:= 720}}}$

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${\bf{H.C.F\times L.C.M \: = 12\times 720}}$

${\bf{H.C.F\times L.C.M \: = 8640}}$

${\bf{Product \:of\: 36 \:and\: 240\: = \:8640}}$

$\huge\underline\mathrm\pink{Hence\:Verified \:!!}$