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 8, 20 and 36

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

    What's the Least Common Multiple (LCM) of 8, 20 and 36?

    Answer

    LCM of 8, 20 and 36 is
    360

    First common multiples: 360; 720; 1,080; …

    360 is divisible by all three: 360 ÷ 8 = 45, 360 ÷ 20 = 18, 360 ÷ 36 = 10 — and 45, 18 and 10 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/8 by 45 and of y/20 by 18 and of z/36 by 10.

    8 = 23

    20 = 22 × 5

    36 = 22 × 32

    Prime82036Highest power
    223222223
    3——3232
    5—5—5

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

    LCM = 23 × 32 × 5 = 360

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--20--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--20--36">What is the LCM of 8, 20 and 36? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 8, 20 and 36? The LCM of 8, 20 and 36 is 360 — 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/8--20--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    82021840
    82022440
    82023920
    82024120
    82025200
    82026520
    820271,080
    82028280
    820291,160
    82030120
    820311,240
    82032160
    820331,320
    82034680
    82035280
    82036360
    820371,480
    82038760
    820391,560
    8204040
    820411,640
    82042840
    820431,720
    82044440
    82045360
    82046920
    820471,880
    82048240
    820491,960
    82050200

    FAQ

    What's the Least Common Multiple (LCM) of 8, 20 and 36?

    LCM of 8, 20 and 36 is 360

    How to find the LCM of 8, 20 and 36 by prime factorization?

    Take every prime that appears in 8, 20 and 36 to the highest power it reaches in any one of them and multiply: 2³ × 3² × 5 = 360.

    Can you get the LCM of 8, 20 and 36 two numbers at a time?

    Yes. The LCM of 8 and 20 is 40, and the LCM of 40 and 36 is 360 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 360 divisible by 8, 20 and 36?

    Yes, and by definition it is the smallest positive integer that is: 360 ÷ 8, 360 ÷ 20 and 360 ÷ 36 all come out whole. Any other common multiple of 8, 20 and 36 is a multiple of 360.

    See Also