Short Answer Type
Long Answer TypeShort Answer TypeLong Answer Type
Since,
1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3
= 24 × 34
and 2520 = 2 × 2 × 2 × 3 × 3 × 5 × 7
= 23 × 32 × 5 × 7
∴ LCM = Product of each prime factor with highest powers
= 24 × 34 × 5 × 7 = 45360
i.e., LCM (1296, 2520)= 45360
H.C.F. = Product of common prime factors with lowest powers
= 23 × 32 = 8 × 9 = 72
i.e., H.C.F. (1296, 2520) = 72.
Short Answer TypeFind the LCM and HCF of the following integers by applying the prime factorisation method :
12, 15 and 21
Long Answer TypeUsing prime factorization method, Find the LCM of
(i) 12, 15, 20, 27 (ii) 21, 28, 36, 45.
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