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Question
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is ______.
Options
5
13
40
8
Solution
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is 13.
Explanation:
The relationship between the highest common factor (HCF) and the least common multiple (LCM) of two numbers a and b is expressed by the formula:
`HCF(a, b) xx LCM(a, b) = a xx b`
`13 xx 40x = 65 xx104`
`40x = (65xx104)/13`
`40x = 520`
`x = 13`
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