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    LCM for 15, 30 and 90

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

    What's the Least Common Multiple (LCM) of 15, 30 and 90?

    Answer

    LCM of 15, 30 and 90 is
    90

    First common multiples: 90, 180, 270, …

    90 is divisible by all three: 90 ÷ 15 = 6, 90 ÷ 30 = 3, 90 ÷ 90 = 1 — and 6, 3 and 1 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/30 by 3.

    15 = 3 × 5

    30 = 2 × 3 × 5

    90 = 2 × 32 × 5

    Prime153090Highest power
    2—222
    3333232
    55555

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

    LCM Table

    1st2nd3rdLCM
    153075150
    1530761,140
    1530772,310
    153078390
    1530792,370
    153080240
    153081810
    1530821,230
    1530832,490
    153084420
    153085510
    1530861,290
    153087870
    1530881,320
    1530892,670
    15309090
    1530912,730
    1530921,380
    153093930
    1530941,410
    153095570
    153096480
    1530972,910
    1530981,470
    153099990
    1530100300
    15301013,030
    1530102510
    15301033,090
    15301041,560

    FAQ

    What's the Least Common Multiple (LCM) of 15, 30 and 90?

    LCM of 15, 30 and 90 is 90

    How to find the LCM of 15, 30 and 90 by prime factorization?

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

    Can you get the LCM of 15, 30 and 90 two numbers at a time?

    Yes. The LCM of 15 and 30 is 30, and the LCM of 30 and 90 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, 30 and 90?

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

    See Also