Find the L.C.M. of the following by finding common prime factors. (i) 60, 75, 120 (ii) 48, 80, 112
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Answer:
i) 15
ii) 8
Step-by-step explanation:
i) Prime Factors of 60 = 2×2×3×5
Prime Factors of 75 = 3×5×5
Prime Factors of 120 = 2×2×2×3×5
Common Factors = 3×5
Therefore, LCM = 15
ii) Prime Factors of 48 = 2×2×2×2×3
Prime Factors of 80 = 2×2×2×2×5
Prime Factors of 112 = 2×2×2×2×7
Common Factors = 2×2×2
Therefore, LCM = 8
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