LCM of Algebraic Expressions — O/L Mathematics

How do I practise LCM of Algebraic Expressions?

1 question with a worked solution

1. Find the Least Common Multiple (LCM) of the algebraic expressions: 4x²y, 6xy³, and 8x³y².
   1. A) 12x³y³
   2. B) 24x²y
   3. C) 48x²y²
   4. D) 24x³y³
   Check my answer

   Correct answer: D) 24x³y³

   Numerical coefficients: LCM of 4, 6, 8 is 24. For algebraic powers, take the highest power of each variable: highest power of x is x³; highest power of y is y³. LCM = 24x³y³.

   Show worked solution

   Step 1: Find LCM of coefficients: 4 = 2², 6 = 2 × 3, 8 = 2³. LCM = 2³ × 3 = 24. Step 2: Find highest power of x present: x², x, x³ → x³. Step 3: Find highest power of y present: y, y³, y² → y³. Step 4: Combine factors: LCM = 24x³y³. Answer: 24x³y³.
   Modelled on: the O/L Mathematics examination pattern

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Where does LCM of Algebraic Expressions fit in the syllabus?

Grade 10 · Term 2