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Question

The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is:

(a) 8000 (b) 1600 (c) 320 (d) 1605

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Solution

Let the two numbers be x and y.
It is given that:
x × y = 1600
HCF = 5
We know,

⇒ HCF × LCM = x × y
5 × LCM = 1600
⇒ LCM = 16005 = 320


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