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    LCM for 12, 20 and 40

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

    What's the Least Common Multiple (LCM) of 12, 20 and 40?

    Answer

    LCM of 12, 20 and 40 is
    120

    First common multiples: 120, 240, 360, …

    120 is divisible by all three: 120 ÷ 12 = 10, 120 ÷ 20 = 6, 120 ÷ 40 = 3 — and 10, 6 and 3 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 10 and of y/20 by 6 and of z/40 by 3.

    12 = 22 × 3

    20 = 22 × 5

    40 = 23 × 5

    Prime122040Highest power
    222222323
    33——3
    5—555

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

    LCM = 23 × 3 × 5 = 120

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--20--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--20--40">What is the LCM of 12, 20 and 40? - Calculatio</a>Copy
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    What is the LCM of 12, 20 and 40? The LCM of 12, 20 and 40 is 120 — 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--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    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
    1220472,820
    122048240
    1220492,940
    122050300
    1220511,020
    122052780
    1220533,180
    122054540

    FAQ

    What's the Least Common Multiple (LCM) of 12, 20 and 40?

    LCM of 12, 20 and 40 is 120

    How to find the LCM of 12, 20 and 40 by prime factorization?

    Take every prime that appears in 12, 20 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 = 120.

    Can you get the LCM of 12, 20 and 40 two numbers at a time?

    Yes. The LCM of 12 and 20 is 60, and the LCM of 60 and 40 is 120 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 120 divisible by 12, 20 and 40?

    Yes, and by definition it is the smallest positive integer that is: 120 ÷ 12, 120 ÷ 20 and 120 ÷ 40 all come out whole. Any other common multiple of 12, 20 and 40 is a multiple of 120.

    See Also