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Using prime factorization, find the HCF and LCM of 30, 72, 432.

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Using prime factorization, find the HCF and LCM of 30, 72, 432.

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Prime factors of 30, 72, 432

30 = 2 × 3 × 5

72 = 2 × 2 × 2 × 3 × 3 = 23 × 32

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 24 × 33

HCF(30, 72, 432) = 2 x 3 = 6

LCM (30, 72, 432) = 24 × 33× 5 = 2160

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