Find the LCM and HCF of the following pairs of
integers and verify that HCF × LCM = Product of the two
numbers
(i) 96 and 404
(ii) 90 and 144.
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Answer:
(i) LCM
=2×2×2×2×2×3×101
=9696
HCF
96=2×2×2×2×2×3
404=2×2×101
=2×2
=4
The product of the LCM and the HCF
=9696×4
=38784
(ii) LCM
=2×2×2×2×3×3×5
=720
HCF
90=2×3×3×5
144=2×2×2×2×3×3
=2×3×3
=18
The product of the LCM and HCF
=720×18
=12960
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