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Question

Find the lowest common multiple (LCM) of 12, 18, and 30.

Verified Answer

180

Explanation & Step-by-Step Solving

Context: Find prime factors: 12=22×312 = 2^2 \times 3, 18=2×3218 = 2 \times 3^2, 30=2×3×530 = 2 \times 3 \times 5. Take the highest power of each factor:22×32×5=4×9×5=1802^2 \times 3^2 \times 5 = 4 \times 9 \times 5 = 180

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