Question
The LCM of 48, 72 and another number, x, is 576. Which
of the values given below can be the value of x?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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