Question

Example 7: Find the HCF of 96 and 404 by the prime factorisation method. Hence,
find their LCM.
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Answer 1

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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

Answer 2

Step-by-step explanation:

HCF = 4

LCM = 9696

I Hope it helps you