Question
Using prime factorization, find the HCF and LCM of:
$144, 198$
$144, 198$
✓
Answer
$144 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 $
$= 2^4 \times 3^2 198 $
$= 2 \times 3 \times 3 \times 11$
$ = 2 \times 3^2 \times 11$
HCF $(144, 198) = 2 \times 3^2 = 18$
LCM $(144, 198) = 2^4 \times 3^2 \times 11 = 1584$
HCF $\times $ LCM = 28512 144 × 198 = 28512
$\Rightarrow $ HCF $\times $ LCM = product of given numbers Hence verified.
$= 2^4 \times 3^2 198 $
$= 2 \times 3 \times 3 \times 11$
$ = 2 \times 3^2 \times 11$
HCF $(144, 198) = 2 \times 3^2 = 18$
LCM $(144, 198) = 2^4 \times 3^2 \times 11 = 1584$
HCF $\times $ LCM = 28512 144 × 198 = 28512
$\Rightarrow $ HCF $\times $ LCM = product of given numbers Hence verified.
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