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    LCM for 15, 18 and 30

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

    What's the Least Common Multiple (LCM) of 15, 18 and 30?

    Answer

    LCM of 15, 18 and 30 is
    90

    First common multiples: 90, 180, 270, …

    90 is divisible by all three: 90 ÷ 15 = 6, 90 ÷ 18 = 5, 90 ÷ 30 = 3 — and 6, 5 and 3 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/15 by 6 and of y/18 by 5 and of z/30 by 3.

    15 = 3 × 5

    18 = 2 × 32

    30 = 2 × 3 × 5

    Prime151830Highest power
    2—222
    3332332
    55—55

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

    LCM = 2 × 32 × 5 = 90

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--18--30Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--18--30">What is the LCM of 15, 18 and 30? - Calculatio</a>Copy
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    What is the LCM of 15, 18 and 30? The LCM of 15, 18 and 30 is 90 — 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/15--18--30/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    15151890
    151618720
    1517181,530
    15181890
    1518191,710
    151820180
    151821630
    151822990
    1518232,070
    151824360
    151825450
    1518261,170
    151827270
    1518281,260
    1518292,610
    15183090
    1518312,790
    1518321,440
    151833990
    1518341,530
    151835630
    151836180
    1518373,330
    1518381,710
    1518391,170
    151840360
    1518413,690
    151842630
    1518433,870
    1518441,980

    FAQ

    What's the Least Common Multiple (LCM) of 15, 18 and 30?

    LCM of 15, 18 and 30 is 90

    How to find the LCM of 15, 18 and 30 by prime factorization?

    Take every prime that appears in 15, 18 and 30 to the highest power it reaches in any one of them and multiply: 2 × 3² × 5 = 90.

    Can you get the LCM of 15, 18 and 30 two numbers at a time?

    Yes. The LCM of 15 and 18 is 90, and the LCM of 90 and 30 is 90 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 90 divisible by 15, 18 and 30?

    Yes, and by definition it is the smallest positive integer that is: 90 ÷ 15, 90 ÷ 18 and 90 ÷ 30 all come out whole. Any other common multiple of 15, 18 and 30 is a multiple of 90.

    See Also