Question

    The LCM of 48, 72 and another number, x, is 576. Which

    of the values given below can be the value of x?
    A 144 Correct Answer Incorrect Answer
    B 192 Correct Answer Incorrect Answer
    C 288 Correct Answer Incorrect Answer
    D 96 Correct Answer Incorrect Answer

    Solution

    ATQ, To solve this, we need to find a value for x such that the least common multiple (LCM) of 48, 72, and x equals 576. For the LCM of 48, 72, and 'x' to be 576, the powers of 2 and 3 in 'x' must be enough to reach the highest powers in 576: Power of 2 :2 ⁶ Power of 3 : 3 ² So, x must have at least 26 and 32, which means x can be 192 or 576. These values make the LCM 576

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