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Answer :
Final answer:
The least common multiple of 2x³, 5x⁴, and 8x⁶ is 8x⁶.
Explanation:
To find the least common multiple (LCM) of 2x³, 5x⁴, and 8x⁶, we need to determine the highest power of each variable that appears in any of the given expressions. In this case, the highest power of x is 6, so we can rewrite each expression to have an exponent of 6.
2x³ = (2x³)(x³) = 2x⁶
5x⁴ = (5x⁴)(x²) = 5x⁶
8x⁶ = 8x⁶ (already in the desired form)
Now, we can see that the LCM of 2x³, 5x⁴, and 8x⁶ is 8x⁶.
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