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    LCM for 16, 18 and 45

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 16, 18 and 45?

    Answer

    LCM of 16, 18 and 45 is
    720

    First common multiples: 720; 1,440; 2,160; …

    720 is divisible by all three: 720 ÷ 16 = 45, 720 ÷ 18 = 40, 720 ÷ 45 = 16 — and 45, 40 and 16 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/16 by 45 and of y/18 by 40 and of z/45 by 16.

    16 = 24

    18 = 2 × 32

    45 = 32 × 5

    Prime161845Highest power
    2242—24
    3—323232
    5——55

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 24 × 32 × 5 = 720

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--18--45Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--18--45">What is the LCM of 16, 18 and 45? - Calculatio</a>Copy
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    What is the LCM of 16, 18 and 45? The LCM of 16, 18 and 45 is 720 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--18--45/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    161830720
    1618314,464
    161832288
    1618331,584
    1618342,448
    1618355,040
    161836144
    1618375,328
    1618382,736
    1618391,872
    161840720
    1618415,904
    1618421,008
    1618436,192
    1618441,584
    161845720
    1618463,312
    1618476,768
    161848144
    1618497,056
    1618503,600
    1618512,448
    1618521,872
    1618537,632
    161854432
    1618557,920
    1618561,008
    1618572,736
    1618584,176
    1618598,496

    FAQ

    What's the Least Common Multiple (LCM) of 16, 18 and 45?

    LCM of 16, 18 and 45 is 720

    How to find the LCM of 16, 18 and 45 by prime factorization?

    Take every prime that appears in 16, 18 and 45 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² × 5 = 720.

    Can you get the LCM of 16, 18 and 45 two numbers at a time?

    Yes. The LCM of 16 and 18 is 144, and the LCM of 144 and 45 is 720 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 720 divisible by 16, 18 and 45?

    Yes, and by definition it is the smallest positive integer that is: 720 ÷ 16, 720 ÷ 18 and 720 ÷ 45 all come out whole. Any other common multiple of 16, 18 and 45 is a multiple of 720.

    See Also