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    LCM for 12, 30 and 32

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

    What's the Least Common Multiple (LCM) of 12, 30 and 32?

    Answer

    LCM of 12, 30 and 32 is
    480

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

    480 is divisible by all three: 480 ÷ 12 = 40, 480 ÷ 30 = 16, 480 ÷ 32 = 15 — and 40, 16 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/30 by 16 and of z/32 by 15.

    12 = 22 × 3

    30 = 2 × 3 × 5

    32 = 25

    Prime123032Highest power
    22222525
    333—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--30--32Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--30--32">What is the LCM of 12, 30 and 32? - Calculatio</a>Copy
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    What is the LCM of 12, 30 and 32? The LCM of 12, 30 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--30--32/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1217301,020
    121830180
    1219301,140
    12203060
    122130420
    122230660
    1223301,380
    122430120
    122530300
    122630780
    122730540
    122830420
    1229301,740
    12303060
    1230311,860
    123032480
    123033660
    1230341,020
    123035420
    123036180
    1230372,220
    1230381,140
    123039780
    123040120
    1230412,460
    123042420
    1230432,580
    123044660
    123045180
    1230461,380

    FAQ

    What's the Least Common Multiple (LCM) of 12, 30 and 32?

    LCM of 12, 30 and 32 is 480

    How to find the LCM of 12, 30 and 32 by prime factorization?

    Take every prime that appears in 12, 30 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, 30 and 32 two numbers at a time?

    Yes. The LCM of 12 and 30 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, 30 and 32?

    Yes, and by definition it is the smallest positive integer that is: 480 ÷ 12, 480 ÷ 30 and 480 ÷ 32 all come out whole. Any other common multiple of 12, 30 and 32 is a multiple of 480.

    See Also