• Pre algebra
  • Whole numbers
  • Least common multiple (LCM)

Least common multiple (LCM)

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  • Question 1:
    1 pts
    Find the $LCM$ of $16$ and $64.$
    $8$
    $16$
    $32$
    $64$
  • Question 2:
    1 pts
    Find the $LCM$ of $5$ and $15.$
    $5$
    $15$
    $20$
    $25$
  • Question 3:
    1 pts
    $$LCM(7,7)=49$$
  • Question 4:
    1 pts
    $$LCM(4,15)=4\cdot 15=60$$
  • Question 5:
    2 pts
    Use the Prime factor diagram, shown on the picture, to find the LCM of the numbers $24,36$ and $50.$
    $2^{3}\cdot 3^{2}\cdot 5^{2}$
    $2^{2}\cdot 3^{2}\cdot 5^{2}$
    $2^{3}\cdot 3\cdot 5^{2}$
    $2^{2}\cdot 3^{4}\cdot 5^{2}$
  • Question 6:
    2 pts
    Use the Prime factor diagram, shown on the picture, to find the LCM of the numbers $56$ and $132.$
    $2^{2}\cdot 7^{2}\cdot 11$
    $2^{3}\cdot 3^{2}\cdot7\cdot 11^{2}$
    $2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11$
    $2^{3}\cdot 3\cdot 7\cdot 11$
  • Question 7:
    2 pts
    Find the $LCM$ of $2^{2}\cdot 3\cdot 5\cdot 7$ and $2^{2}\cdot 3^{2}\cdot 7.$

    $2^{2}\cdot 3\cdot 5\cdot 7$

    $2^{2}\cdot 3^{2}\cdot 5\cdot 7$

    $2^{2}\cdot 3^{2}\cdot 5\cdot 7^{2}$

    $2\cdot 3^{2}\cdot 5\cdot 7$

  • Question 8:
    1 pts
    $$LCM(2, 16)=\dfrac{2\cdot 16}{GCD(2, 16)}$$
  • Question 9:
    3 pts
    This afternoon, Sara noticed that the number of the page assigned for homework is divisible by both 12 and 2. What is the smallest possible page number that could have been assigned?

    $2$

    $12$

    $24$

    $36$

  • Question 10:
    3 pts
    Determine the smallest whole number divisible by numbers $7$ and $8.$
    $42$
    $48$
    $49$
    $56$
  • Question 11:
    3 pts
    Determine all the values $x\geq0$ for which it is $LCM(4,x)=12.$

    $1,3,6,12$

    $3,6,12$

    $3,6,9,12$

    $0,3,6,12$

  • Question 12:
    3 pts
    The $LCM$ of two coprime numbers is
    less than one of the numbers.
    equal to their product.
    equal to one of the numbers.
    always an odd number.