Math Problem Statement
Find the smallest multiple of 3, 4 and 6 which is a perfect cube. Find the cube root of that number. Is this cube root also divisible by 3, 4 and 6?
Solution
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Math Problem Analysis
Mathematical Concepts
Prime Factorization
Least Common Multiple (LCM)
Perfect Cube
Cube Root
Formulas
Prime factorization: Express a number as a product of prime factors
LCM: Take the highest powers of prime factors involved
Perfect cube condition: Exponents of prime factors must be divisible by 3
Theorems
Divisibility Rules
Properties of Perfect Cubes
Suitable Grade Level
Grades 9-11
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