Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    LCM for 15, 18 and 20

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

    What's the Least Common Multiple (LCM) of 15, 18 and 20?

    Answer

    LCM of 15, 18 and 20 is
    180

    First common multiples: 180, 360, 540, …

    180 is divisible by all three: 180 ÷ 15 = 12, 180 ÷ 18 = 10, 180 ÷ 20 = 9 — and 12, 10 and 9 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 12 and of y/18 by 10 and of z/20 by 9.

    15 = 3 × 5

    18 = 2 × 32

    20 = 22 × 5

    Prime151820Highest power
    2—22222
    3332—32
    55—55

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

    LCM = 22 × 32 × 5 = 180

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--18--20Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--18--20">What is the LCM of 15, 18 and 20? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 15, 18 and 20? The LCM of 15, 18 and 20 is 180 — 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--20/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    5151890
    6151890
    71518630
    81518360
    9151890
    10151890
    111518990
    121518180
    1315181,170
    141518630
    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

    FAQ

    What's the Least Common Multiple (LCM) of 15, 18 and 20?

    LCM of 15, 18 and 20 is 180

    How to find the LCM of 15, 18 and 20 by prime factorization?

    Take every prime that appears in 15, 18 and 20 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5 = 180.

    Can you get the LCM of 15, 18 and 20 two numbers at a time?

    Yes. The LCM of 15 and 18 is 90, and the LCM of 90 and 20 is 180 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 180 divisible by 15, 18 and 20?

    Yes, and by definition it is the smallest positive integer that is: 180 ÷ 15, 180 ÷ 18 and 180 ÷ 20 all come out whole. Any other common multiple of 15, 18 and 20 is a multiple of 180.

    See Also