Find HCF and LCM of 404 and 96 and verify that HCF # LCM = Product of the two given
numbers.
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Answer:Let a=404 and b=96
Expressing the number as a product of prime number
404=2×2×101
96=2×2×2×2×2×3
∴ LCM of 404 and 96 is 2×2×2×2×2×101×3=9696
∴ HCF of 404 and 96 is 2×2=4
Now HCF×LCM=4×9696=38784
Product of two given numbers 404×96=38784
Hence HCM×LCM= product of two given numbers.
Step-by-step explanation:
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