Question

2. Find the LCM and HCF of the following pairs of integers and verify that LCM X HCF =
product of the two numbers.

(i) 510 and 92​

Answer 1

Answer:

92=2×2×23

510=2×3×5×1792=2×2×23

HCF=2

LCM=23460

LCM X HCF =product of the two numbers

2×23460 =. 510×92

46920 =46920

Hope it helps you

Answer 2

$\: \: \: \: \: \: \: \: \: \: \huge\sf \pmb{\orange {\underline \pink{\underline{\:Ꭺ ꪀ \mathfrak ꕶ᭙ꫀя \: }}}}$

$\sf \: The \: number \: can \: be \: expressed \: as \: the \\ \sf \: product \: of \: prime \: factors \: as :$

$•\sf \: 510 = 2 \: x \: 3 \: x \: 5 \: x \: 17$

$•\sf \: 92 = 22 \: x \: 23$

$\sf \pmb{ HCF \: (510,92) = 2}$

$\sf \: LCM(510,92) = 22 \: x \: 3 \: x \: 5 \: x \: 17 \: x \: 23$

$\sf = \pmb {23460}$

$\sf \: HCF \: x \: LCM = 2 \: x \: 23460$

$\sf \: = \pmb {4692}$

$\sf \: 510 \: x \: 92$

$\sf= \pmb {\underline {\underline{ 46920}}}$

$\sf \pmb {\underline \red{510 \: x \: 92 \: = \: HCF \: x \: LCM}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \red \star\sf \pmb {\underline {\boxed { \sf \pink{ \: Hence \: Verified}}}} \red\star$

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