Question
The HCF of two numbers is 48, and their LCM is 1440. If
one of the numbers is 576, find the other number.Solution
We know that the relationship between the LCM, HCF, and the two numbers is: LCM × HCF = Product of the two numbers. Let the second number be x. Therefore, 1440 × 48 = 576 × x. 69120 = 576 × x. x = 69120 ÷ 576 = 120. Thus, the other number is 120. Correct option: b
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