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 $
$ \operatorname{HCF}(144,198)=2 \times 3^2=18 $
$ \operatorname{LCM}(144,198)=2^4 \times 3^2 \times 11=1584 $
$ H C F \times \operatorname{LCM}=28512 $
$ 144 \times 198=28512$
$⇒ HCF × LCM =$ product of given numbers
Hence verified.
$ 198=2 \times 3 \times 3 \times 11=2 \times 3^2 \times 11 $
$ \operatorname{HCF}(144,198)=2 \times 3^2=18 $
$ \operatorname{LCM}(144,198)=2^4 \times 3^2 \times 11=1584 $
$ H C F \times \operatorname{LCM}=28512 $
$ 144 \times 198=28512$
$⇒ HCF × LCM =$ product of given numbers
Hence verified.
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