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Let x and y be two distinct prime numbers and p = x²y³, q = xy⁴, r = x⁵y². Find the HCF and LCM of p, q and r. Further check if HCF (p, q, r) × LCM (p, q, r) = p × q × r or not.
Two numbers are in the ratio 4 : 5 and their HCF is 11. Find the LCM of these numbers.
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