Question

) For the given numbers 36 and 40, verify the property HCF × LCM = Product of given two numbers​

Answer 1

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

Answer:

Prime factor of given no.s

36=2×2×3×3

84=2×2×3×7

LCM=2×2×3×3×7=252

HCF=2×2×3=12

LCM×HCF=1524

Product=36×48=1524

Hence proved.

HCF×LCM= product of given numbers.