Lowest Common Multiple (LCM)
PART-B Unit I: Aptitude
PART-B • Unit I: Aptitude & Mental Ability
Lowest Common Multiple (LCM / மீ.பொ.ம) • 15 Model Questions
Organized from Easy to Complex with Step-by-Step Mathematical Solutions and LaTeX Formulas
Level 1: Monomials, Co-Primes & Basic Ratios
Easy
Question 01
Two-Variable Monomial LCM
Find the LCM of \(4x^2y\) and \(8x^3y^2\):
💡 Explanation:
- Coefficients: \(\mathrm{LCM}(4, 8) = 8\)
- Variable \(x\): Take the highest exponent \(\max(2, 3) = 3 \implies x^3\)
- Variable \(y\): Take the highest exponent \(\max(1, 2) = 2 \implies y^2\)
- Combining terms: \[\mathrm{LCM} = \mathbf{8x^3y^2}\]
Question 02
Three-Variable Monomial LCM
The LCM of \(8p^2qr\), \(12p^2r^2\), and \(24pqr\) is:
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