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  • Pre algebra
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  • Least common multiple (LCM)

Least common multiple (LCM)

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  • Question 1:
    1 pts
    		Find the LCMLCM of 1616 and 64.64.
    88
    1616
    3232
    6464
  • Question 2:
    1 pts
    		Find the LCMLCM of 55 and 15.15.
    55
    1515
    2020
    2525
  • Question 3:
    1 pts
    		LCM(7,7)=49LCM(7,7)=49
  • Question 4:
    1 pts
    		LCM(4,15)=4⋅15=60LCM(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 24,3624,36 and 50.50.
    23⋅32⋅522^{3}\cdot 3^{2}\cdot 5^{2}
    22⋅32⋅522^{2}\cdot 3^{2}\cdot 5^{2}
    23⋅3⋅522^{3}\cdot 3\cdot 5^{2}
    22⋅34⋅522^{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 5656 and 132.132.
    22⋅72⋅112^{2}\cdot 7^{2}\cdot 11
    23⋅32⋅7⋅1122^{3}\cdot 3^{2}\cdot7\cdot 11^{2}
    22⋅33⋅72⋅112^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11
    23⋅3⋅7⋅112^{3}\cdot 3\cdot 7\cdot 11
  • Question 7:
    2 pts
    		Find the LCMLCM of 22⋅3⋅5⋅72^{2}\cdot 3\cdot 5\cdot 7 and 22⋅32⋅7.2^{2}\cdot 3^{2}\cdot 7.

    22⋅3⋅5⋅72^{2}\cdot 3\cdot 5\cdot 7

    22⋅32⋅5⋅72^{2}\cdot 3^{2}\cdot 5\cdot 7

    22⋅32⋅5⋅722^{2}\cdot 3^{2}\cdot 5\cdot 7^{2}

    2⋅32⋅5⋅72\cdot 3^{2}\cdot 5\cdot 7

  • Question 8:
    1 pts
    		LCM(2,16)=2⋅16GCD(2,16)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?

    22

    1212

    2424

    3636

  • Question 10:
    3 pts
    		Determine the smallest whole number divisible by numbers 77 and 8.8.
    4242
    4848
    4949
    5656
  • Question 11:
    3 pts
    		Determine all the values x≥0x\geq0 for which it is LCM(4,x)=12.LCM(4,x)=12.

    1,3,6,121,3,6,12

    3,6,123,6,12

    3,6,9,123,6,9,12

    0,3,6,120,3,6,12

  • Question 12:
    3 pts
    		The LCMLCM 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.

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