Question

4. Find the LCM and HCF of 24, 36, and 40 by using prime factorization.

Answer 1

Step-by-step explanation:

24 = 2 × 2 × 2 × 3 = 23 × 3.

36 = 2 × 2 × 3 × 3 = 22 × 32

40 = 2 × 2 × 2 × 5 = 23 × 5.

HCF = product of smallest power of each common prime factor in the numbers = 22 = 4.

LCM = product of greatest power of each prime factor involved in the numbers = 23 × 32 × 5 = 360.

Answer 2

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