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    LCM for 12, 20 and 32

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

    What's the Least Common Multiple (LCM) of 12, 20 and 32?

    Answer

    LCM of 12, 20 and 32 is
    480

    First common multiples: 480; 960; 1,440; …

    480 is divisible by all three: 480 ÷ 12 = 40, 480 ÷ 20 = 24, 480 ÷ 32 = 15 — and 40, 24 and 15 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 40 and of y/20 by 24 and of z/32 by 15.

    12 = 22 × 3

    20 = 22 × 5

    32 = 25

    Prime122032Highest power
    222222525
    33——3
    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 = 25 × 3 × 5 = 480

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--20--32Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--20--32">What is the LCM of 12, 20 and 32? - Calculatio</a>Copy
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    What is the LCM of 12, 20 and 32? The LCM of 12, 20 and 32 is 480 — 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--20--32/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1217201,020
    121820180
    1219201,140
    12202060
    122021420
    122022660
    1220231,380
    122024120
    122025300
    122026780
    122027540
    122028420
    1220291,740
    12203060
    1220311,860
    122032480
    122033660
    1220341,020
    122035420
    122036180
    1220372,220
    1220381,140
    122039780
    122040120
    1220412,460
    122042420
    1220432,580
    122044660
    122045180
    1220461,380

    FAQ

    What's the Least Common Multiple (LCM) of 12, 20 and 32?

    LCM of 12, 20 and 32 is 480

    How to find the LCM of 12, 20 and 32 by prime factorization?

    Take every prime that appears in 12, 20 and 32 to the highest power it reaches in any one of them and multiply: 2⁵ × 3 × 5 = 480.

    Can you get the LCM of 12, 20 and 32 two numbers at a time?

    Yes. The LCM of 12 and 20 is 60, and the LCM of 60 and 32 is 480 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 480 divisible by 12, 20 and 32?

    Yes, and by definition it is the smallest positive integer that is: 480 ÷ 12, 480 ÷ 20 and 480 ÷ 32 all come out whole. Any other common multiple of 12, 20 and 32 is a multiple of 480.

    See Also