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# Find the LCM and HCF of the following integers by applying the prime factorisation method.(i) 12,15 and 21 (ii) 17,23 and 29 (iii) 8,9 and 25

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#### Using prime factorisation method:(i) 12, 15 and 21Factor of 12=2×2×3Factor of 15=3×5Factor of 21=3×7HCF (12,15,21)=3LCM (12,15,21)=2×2×3×5×7=420(ii) 17, 23 and 29Factor of 17=1×17Factor of 23=1×23Factor of 29=1×29HCF (17,23,29)=1LCM (17,23,29)=1×17×23×29=11,339(iii) 8, 9 and 25Factor of 8=2×2×2×1Factor of 9=3×3×1Factor of 25=5×5×1HCF (8,9,25)=1LCM (8,9,25)=2×2×2×3×3×5×5=1,800

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