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    LCM for 16, 18 and 24

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

    What's the Least Common Multiple (LCM) of 16, 18 and 24?

    Answer

    LCM of 16, 18 and 24 is
    144

    First common multiples: 144, 288, 432, …

    144 is divisible by all three: 144 ÷ 16 = 9, 144 ÷ 18 = 8, 144 ÷ 24 = 6 — and 9, 8 and 6 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 9 and of y/18 by 8 and of z/24 by 6.

    16 = 24

    18 = 2 × 32

    24 = 23 × 3

    Prime161824Highest power
    22422324
    3—32332

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

    LCM = 24 × 32 = 144

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--18--24Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--18--24">What is the LCM of 16, 18 and 24? - Calculatio</a>Copy
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    What is the LCM of 16, 18 and 24? The LCM of 16, 18 and 24 is 144 — 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--24/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    91618144
    101618720
    1116181,584
    121618144
    1316181,872
    1416181,008
    151618720
    161618144
    1617182,448
    161818144
    1618192,736
    161820720
    1618211,008
    1618221,584
    1618233,312
    161824144
    1618253,600
    1618261,872
    161827432
    1618281,008
    1618294,176
    161830720
    1618314,464
    161832288
    1618331,584
    1618342,448
    1618355,040
    161836144
    1618375,328
    1618382,736

    FAQ

    What's the Least Common Multiple (LCM) of 16, 18 and 24?

    LCM of 16, 18 and 24 is 144

    How to find the LCM of 16, 18 and 24 by prime factorization?

    Take every prime that appears in 16, 18 and 24 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² = 144.

    Can you get the LCM of 16, 18 and 24 two numbers at a time?

    Yes. The LCM of 16 and 18 is 144, and the LCM of 144 and 24 is 144 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 144 divisible by 16, 18 and 24?

    Yes, and by definition it is the smallest positive integer that is: 144 ÷ 16, 144 ÷ 18 and 144 ÷ 24 all come out whole. Any other common multiple of 16, 18 and 24 is a multiple of 144.

    See Also