The two co-prime numbers whose LCM is 432, are 16 and 27.
Correct option: C) 16 and 27
Step-by-step explanation:
A) 18 and 24
- 18 = 2 × 3 × 3
- 24 = 2 × 2 × 2 × 3
HCF of 18 and 24 = 2 × 3 = 6
So, 18 and 24 are not co-primes.
B) 36 and 12
- 36 = 2 × 2 × 3 × 3
- 12 = 2 × 2 × 3
HCF of 36 and 12 = 2 × 2 × 3 = 12
So, 36 and 12 are not co-primes.
C) 16 and 27
- 16 = 2 × 2 × 2 × 2
- 27 = 3 × 3 × 3
HCF of 16 and 27 = 1
So, 16 and 27 are co-primes.
LCM of 16 and 27 = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 432
This is the correct option.
D) 54 and 8
- 54 = 2 × 3 × 3 × 3
- 8 = 2 × 2 × 2
HCF of 54 and 8 = 2
So, 54 and 8 are not co-primes.
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