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Find Hcf and Lcm of 404 and 96 and Verify that Hcf × Lcm = Product of the Two Given Numbers. - Mathematics

Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers.

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Solution

404=2×2×101

96 = 2×2×2×2×2×3

LCM = 2×2×2×2×2×3×101 = 9696

LCM = 9696

HCF = 2×2 = 4

Product of numbers = 96×404 =38784

LCM×HCF = 4×9696 = 38784

Hence, LCM×HCF = Product of numbers

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