Question

Find the HCF and LCM of 4x³,Y³,Z³

Answer 1

Find the HCF and LCM of 4x³,Y³,Z³

Step-by-step explanation:

HCF=1

LCM=4x³Y³Z³

Answer 2

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$The \: given \: monomials \: 4x ^{3}, y ^{3} and \: z ^{3} can \: be \: factorized \: as \: follows \\ 4x ^{3} = 2 \times 2 \times x \times x \times x \\ y ^{3} = y \times y \times y \\ z ^{3} = z \times z \times z$

$We \: know \: that \: HCF \: is \: the \: highest \: common \: factor. \\ therefore \: the \: hcf \: of \: 4x ^{3} ,y ^{3} ,z ^{3} is$

$Also, the \: lcm \: is \: the \: least \: common \: multiple \: therefore \: the \: lcm \: of \: 4x ^{3} , y ^{3} and \: z ^{3} \: is$

$Hence, \: the \: hcf \: is \: 1 \: and \: lcm \: is \: 4x ^{3}y ^{3} z ^{3}$