Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

What is the smallest number that is....?

Exactly divisible by 1,2,3,4,5,6,7,8 and9?

8 Answers

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  • 9 years ago
    Favorite Answer

    1: 1

    2: 1*2

    3: 1*........3

    4: 1*2*2

    5: 1*..............5

    6: 1*2*.....3

    7: 1*.................7

    8: 1*2*2*2

    9: 1*........3*3

    ----------------------------

    ....1*2*2*2*3*3*5*7 = 2520 = LCM of 1, 2, 3, 4, 5, 6, 7, 8, and 9

  • 9 years ago

    Best way:

    "Compute the prime factors of each of the factors:

    1 = 1

    2 = 2

    3 = 3

    4 = 2*2

    5 = 5

    6 = 2*3

    7 = 7

    8 = 2*2*2

    9 = 3*3

    To get our least common multiple, combine the highest powers of all the primes. For the 2's, that is 2*2*2. For the 3's, that would be 3*3. We also have one each of a 5 and a 7. The least common multiple is the product of all these, which is 2*2*2*3*3*5*7 = 2520. By the way, you also get the factor 10 thrown in for free.

    Answer by devilsadvocate1728 4 years ago."

    Source(s): Has been answered before. And well!
  • 9 years ago

    We require the lowest common multiple of these numbers. So, if we list the prime factors we get:

    1-->1

    2-->2

    3-->3

    4-->2²

    5-->5

    6-->2 x 3

    7-->7

    8-->2³

    9-->3²

    We now require the highest occuring power of each factor.

    => 2³ x 3² x 5 x 7

    i.e. 8 x 9 x 5 x 7

    so, 72 x 35 = 2,520

    :)>

  • GRAHAM
    Lv 6
    9 years ago

    1=1

    2=2

    3=3

    4=2*2

    5=5

    6=2*3

    7=7

    8=2*2*2

    9=3*3

    answer= 1*2*2*2*3*3*5*7=2520

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  • 9 years ago

    Zero divided by any number is still zero.

  • Find the L.C.M of 1,2,3,4,5,6,7,8,9

    that is

    2520

  • Anonymous
    9 years ago

    lcm(1,2,3,4,5,6,7,8,9)=8*5*7*9

  • Anonymous
    9 years ago

    3060

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