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GCF and LCM Knowledge-Based Practice

Math · Number Sense & Operations · Math · Counting & Place Value

5 Math practice questions on GCF and LCM. Questions that assess core concepts and understanding.

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Questions

  1. 1.

    Given two positive integers with prime factorizations a=23×3×5a = 2^3 \times 3 \times 5 and b=2×32×52b = 2 \times 3^2 \times 5^2, what is the value of LCM(a,b)GCF(a,b)\frac{\text{LCM}(a, b)}{\text{GCF}(a, b)}?

    • A) 60
    • B) 30
    • C) 90
    • D) 120
  2. 2.

    What is the greatest common factor (GCF) of 72, 108, and 180?

    • A) 12
    • B) 18
    • C) 36
    • D) 54
  3. 3.

    What is the least common multiple (LCM) of 15, 20, and 24?

    • A) 60
    • B) 120
    • C) 180
    • D) 240
  4. 4.

    The greatest common factor of two positive integers is 8, and their least common multiple is 96. If one of the integers is 24, what is the other integer?

    • A) 28
    • B) 32
    • C) 40
    • D) 48
  5. 5.

    What are the greatest common factor (GCF) and least common multiple (LCM) of 36 and 54?

    • A) GCF = 9 and LCM = 216
    • B) GCF = 18 and LCM = 108
    • C) GCF = 6 and LCM = 108
    • D) GCF = 18 and LCM = 216

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