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Factors of a Number

The ratio of ...

Question

The ratio of two numbers is 3:4 and their HCF is 4. Their LCM is

(a) 12
(b) 16
(c) 24
(d) 48

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Solution

(d) 48
Two numbers are 3 × HCF and 4 × HCF
i.e. 3 × 4 = 12 and 4 × 4 = 16
LCM of 12 and 16 = 48

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