Short Answer Type
Long Answer TypeShort Answer TypeLong Answer TypeShort Answer TypeFind the LCM and HCF of the following integers by applying the prime factorisation method :
12, 15 and 21
Since, 12 = 2 × 2 × 3 = 22 × 3
15 = 3 × 5
and 21 = 3 × 7
∴ LCM = Product of each prime factor with highest power
= 22 × 3 × 5 × 7 = 420
i.e., LCM (12, 15, 21) = 420
HCF = Product of common prime factors with lowest powers
= 3
i.e., HCF (12, 15,21) = 3.
Long Answer TypeUsing prime factorization method, Find the LCM of
(i) 12, 15, 20, 27 (ii) 21, 28, 36, 45.
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