Math Problem Statement

Find the least common multiple (LCM) of given numbers or expressions, as shown in problems 40-43. Alternatively, address other problems involving greatest common factor (GCF) or simplifying expressions.

Solution

It appears you’ve uploaded an image with math problems. I’ll extract and solve one or more of the problems. Let me know which specific problem you’d like help with, or I can address them sequentially. For example:

  • Problem 36: Finding the greatest common factor.
  • Problem 38: Working with exponents and variables.
  • Problems 40-43: Finding the least common multiple (LCM) using prime factorizations.

Let me know where to begin!

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Math Problem Analysis

Mathematical Concepts

Prime Factorization
Least Common Multiple (LCM)
Greatest Common Factor (GCF)
Exponents and Variables

Formulas

LCM formula using prime factorization: LCM(a, b) = Product of the highest powers of all primes appearing in the factorization of a and b
GCF formula using prime factorization: GCF(a, b) = Product of the lowest powers of common primes

Theorems

Fundamental Theorem of Arithmetic

Suitable Grade Level

Grades 6-8

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