Question

Find the LCM and HCF of
24, 36,40
by
the prime factorisation method​

Answer 1

Answer:

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.

Step-by-step explanation:

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