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    LCM for 6, 11 and 18

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

    What's the Least Common Multiple (LCM) of 6, 11 and 18?

    Answer

    LCM of 6, 11 and 18 is
    198

    First common multiples: 198, 396, 594, …

    198 is divisible by all three: 198 ÷ 6 = 33, 198 ÷ 11 = 18, 198 ÷ 18 = 11 — and 33, 18 and 11 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/6 by 33 and of y/11 by 18 and of z/18 by 11.

    6 = 2 × 3

    11 — prime

    18 = 2 × 32

    Prime61118Highest power
    22—22
    33—3232
    11—11—11

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

    LCM = 2 × 32 × 11 = 198

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/6--11--18Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/6--11--18">What is the LCM of 6, 11 and 18? - Calculatio</a>Copy
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    What is the LCM of 6, 11 and 18? The LCM of 6, 11 and 18 is 198 — 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/6--11--18/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    361166
    4611132
    5611330
    661166
    6711462
    6811264
    6911198
    61011330
    6111166
    61112132
    61113858
    61114462
    61115330
    61116528
    611171,122
    61118198
    611191,254
    61120660
    61121462
    6112266
    611231,518
    61124264
    611251,650
    61126858
    61127594
    61128924
    611291,914
    61130330
    611312,046
    611321,056

    FAQ

    What's the Least Common Multiple (LCM) of 6, 11 and 18?

    LCM of 6, 11 and 18 is 198

    How to find the LCM of 6, 11 and 18 by prime factorization?

    Take every prime that appears in 6, 11 and 18 to the highest power it reaches in any one of them and multiply: 2 × 3² × 11 = 198.

    Can you get the LCM of 6, 11 and 18 two numbers at a time?

    Yes. The LCM of 6 and 11 is 66, and the LCM of 66 and 18 is 198 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 198 divisible by 6, 11 and 18?

    Yes, and by definition it is the smallest positive integer that is: 198 ÷ 6, 198 ÷ 11 and 198 ÷ 18 all come out whole. Any other common multiple of 6, 11 and 18 is a multiple of 198.

    See Also