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 12, 18 and 81

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

    What's the Least Common Multiple (LCM) of 12, 18 and 81?

    Answer

    LCM of 12, 18 and 81 is
    324

    First common multiples: 324, 648, 972, …

    324 is divisible by all three: 324 ÷ 12 = 27, 324 ÷ 18 = 18, 324 ÷ 81 = 4 — and 27, 18 and 4 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/12 by 27 and of y/18 by 18 and of z/81 by 4.

    12 = 22 × 3

    18 = 2 × 32

    81 = 34

    Prime121881Highest power
    2222—22
    33323434

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

    LCM = 22 × 34 = 324

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--18--81Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--18--81">What is the LCM of 12, 18 and 81? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 12, 18 and 81? The LCM of 12, 18 and 81 is 324 — 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/12--18--81/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    121866396
    1218672,412
    121868612
    121869828
    1218701,260
    1218712,556
    12187272
    1218732,628
    1218741,332
    121875900
    121876684
    1218772,772
    121878468
    1218792,844
    121880720
    121881324
    1218821,476
    1218832,988
    121884252
    1218853,060
    1218861,548
    1218871,044
    121888792
    1218893,204
    121890180
    1218913,276
    121892828
    1218931,116
    1218941,692
    1218953,420

    FAQ

    What's the Least Common Multiple (LCM) of 12, 18 and 81?

    LCM of 12, 18 and 81 is 324

    How to find the LCM of 12, 18 and 81 by prime factorization?

    Take every prime that appears in 12, 18 and 81 to the highest power it reaches in any one of them and multiply: 2² × 3⁴ = 324.

    Can you get the LCM of 12, 18 and 81 two numbers at a time?

    Yes. The LCM of 12 and 18 is 36, and the LCM of 36 and 81 is 324 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 324 divisible by 12, 18 and 81?

    Yes, and by definition it is the smallest positive integer that is: 324 ÷ 12, 324 ÷ 18 and 324 ÷ 81 all come out whole. Any other common multiple of 12, 18 and 81 is a multiple of 324.

    See Also