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    LCM for 7, 18 and 21

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

    What's the Least Common Multiple (LCM) of 7, 18 and 21?

    Answer

    LCM of 7, 18 and 21 is
    126

    First common multiples: 126, 252, 378, …

    126 is divisible by all three: 126 ÷ 7 = 18, 126 ÷ 18 = 7, 126 ÷ 21 = 6 — and 18, 7 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/7 by 18 and of y/18 by 7 and of z/21 by 6.

    7 — prime

    18 = 2 × 32

    21 = 3 × 7

    Prime71821Highest power
    2—2—2
    3—32332
    77—77

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

    LCM = 2 × 32 × 7 = 126

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/7--18--21Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/7--18--21">What is the LCM of 7, 18 and 21? - Calculatio</a>Copy
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    What is the LCM of 7, 18 and 21? The LCM of 7, 18 and 21 is 126 — 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/7--18--21/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    6718126
    7718126
    7818504
    7918126
    71018630
    711181,386
    71218252
    713181,638
    71418126
    71518630
    716181,008
    717182,142
    71818126
    718192,394
    718201,260
    71821126
    718221,386
    718232,898
    71824504
    718253,150
    718261,638
    71827378
    71828252
    718293,654
    71830630
    718313,906
    718322,016
    718331,386
    718342,142
    71835630

    FAQ

    What's the Least Common Multiple (LCM) of 7, 18 and 21?

    LCM of 7, 18 and 21 is 126

    How to find the LCM of 7, 18 and 21 by prime factorization?

    Take every prime that appears in 7, 18 and 21 to the highest power it reaches in any one of them and multiply: 2 × 3² × 7 = 126.

    Can you get the LCM of 7, 18 and 21 two numbers at a time?

    Yes. The LCM of 7 and 18 is 126, and the LCM of 126 and 21 is 126 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 126 divisible by 7, 18 and 21?

    Yes, and by definition it is the smallest positive integer that is: 126 ÷ 7, 126 ÷ 18 and 126 ÷ 21 all come out whole. Any other common multiple of 7, 18 and 21 is a multiple of 126.

    See Also