Which are the two co-prime numbers whose l. c. m. is 432?A) 18 and 24B) 36 and 12C) 16 and 27D) 54 and 8

Answers 2

Let LCM=432 and HCF =72
Let LCM=432 and HCF =72Let one number is “a”=216 and the other number is “b” which is unknown as b=?
Let LCM=432 and HCF =72Let one number is “a”=216 and the other number is “b” which is unknown as b=?To find b we as
Let LCM=432 and HCF =72Let one number is “a”=216 and the other number is “b” which is unknown as b=?To find b we asLCM=a×b/HCF
Let LCM=432 and HCF =72Let one number is “a”=216 and the other number is “b” which is unknown as b=?To find b we asLCM=a×b/HCFLCM ×HCF /a=b putting the value we get
Let LCM=432 and HCF =72Let one number is “a”=216 and the other number is “b” which is unknown as b=?To find b we asLCM=a×b/HCFLCM ×HCF /a=b putting the value we get432×72/216=b
Let LCM=432 and HCF =72Let one number is “a”=216 and the other number is “b” which is unknown as b=?To find b we asLCM=a×b/HCFLCM ×HCF /a=b putting the value we get432×72/216=bTherefor:
Let LCM=432 and HCF =72Let one number is “a”=216 and the other number is “b” which is unknown as b=?To find b we asLCM=a×b/HCFLCM ×HCF /a=b putting the value we get432×72/216=bTherefor:b=144
Let LCM=432 and HCF =72Let one number is “a”=216 and the other number is “b” which is unknown as b=?To find b we asLCM=a×b/HCFLCM ×HCF /a=b putting the value we get432×72/216=bTherefor:b=144So the other number is 144.

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

HCF of 18 and 24 = 2 × 3 = 6

So, 18 and 24 are not co-primes.

B) 36 and 12

HCF of 36 and 12 = 2 × 2 × 3 = 12

So, 36 and 12 are not co-primes.

C) 16 and 27

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

HCF of 54 and 8 = 2

So, 54 and 8 are not co-primes.

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