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    LCM for 14, 16 and 18

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

    What's the Least Common Multiple (LCM) of 14, 16 and 18?

    Answer

    LCM of 14, 16 and 18 is
    1,008

    First common multiples: 1,008; 2,016; 3,024; …

    1,008 is divisible by all three: 1,008 ÷ 14 = 72; 1,008 ÷ 16 = 63; 1,008 ÷ 18 = 56 — and 72, 63 and 56 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/14 by 72 and of y/16 by 63 and of z/18 by 56.

    14 = 2 × 7

    16 = 24

    18 = 2 × 32

    Prime141618Highest power
    2224224
    3——3232
    77——7

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

    LCM = 24 × 32 × 7 = 1,008

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/14--16--18Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/14--16--18">What is the LCM of 14, 16 and 18? - Calculatio</a>Copy
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    What is the LCM of 14, 16 and 18? The LCM of 14, 16 and 18 is 1,008 — 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/14--16--18/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    31416336
    41416112
    51416560
    61416336
    71416112
    81416112
    914161,008
    101416560
    1114161,232
    121416336
    1314161,456
    141416112
    1415161,680
    141616112
    1416171,904
    1416181,008
    1416192,128
    141620560
    141621336
    1416221,232
    1416232,576
    141624336
    1416252,800
    1416261,456
    1416273,024
    141628112
    1416293,248
    1416301,680
    1416313,472
    141632224

    FAQ

    What's the Least Common Multiple (LCM) of 14, 16 and 18?

    LCM of 14, 16 and 18 is 1,008

    How to find the LCM of 14, 16 and 18 by prime factorization?

    Take every prime that appears in 14, 16 and 18 to the highest power it reaches in any one of them and multiply: 2⁴ × 3² × 7 = 1,008.

    Can you get the LCM of 14, 16 and 18 two numbers at a time?

    Yes. The LCM of 14 and 16 is 112, and the LCM of 112 and 18 is 1,008 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,008 divisible by 14, 16 and 18?

    Yes, and by definition it is the smallest positive integer that is: 1,008 ÷ 14, 1,008 ÷ 16 and 1,008 ÷ 18 all come out whole. Any other common multiple of 14, 16 and 18 is a multiple of 1,008.

    See Also