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LCM and HCF of two numbers are 144 and 8 respectively. If one of the numbers is 16, then find the other number.
Question

LCM and HCF of two numbers are 144 and 8 respectively. If one of the numbers is 16, then find the other number.

A.

73

B.

74

C.

72

D.

70

Correct option is C

Given:
LCM of two numbers = 144
HCF of two numbers = 8
One of the numbers = 16
Formula Used:
LCM × HCF = Product of the two numbers
Solution:
Let the other number be x.
According to the given formula:
LCM × HCF = Product of the two numbers
144 × 8 = 16 × x
1152 = 16x
x = 72
Thus, the other number is 72.

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