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    LCM for 12, 22 and 40

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

    What's the Least Common Multiple (LCM) of 12, 22 and 40?

    Answer

    LCM of 12, 22 and 40 is
    1,320

    First common multiples: 1,320; 2,640; 3,960; …

    1,320 is divisible by all three: 1,320 ÷ 12 = 110; 1,320 ÷ 22 = 60; 1,320 ÷ 40 = 33 — and 110, 60 and 33 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 110 and of y/22 by 60 and of z/40 by 33.

    12 = 22 × 3

    22 = 2 × 11

    40 = 23 × 5

    Prime122240Highest power
    22222323
    33——3
    5——55
    11—11—11

    — = 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 × 11 = 1,320

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--22--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--22--40">What is the LCM of 12, 22 and 40? - Calculatio</a>Copy
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    What is the LCM of 12, 22 and 40? The LCM of 12, 22 and 40 is 1,320 — 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--22--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1222253,300
    1222261,716
    1222271,188
    122228924
    1222293,828
    122230660
    1222314,092
    1222321,056
    122233132
    1222342,244
    1222354,620
    122236396
    1222374,884
    1222382,508
    1222391,716
    1222401,320
    1222415,412
    122242924
    1222435,676
    122244132
    1222451,980
    1222463,036
    1222476,204
    122248528
    1222496,468
    1222503,300
    1222512,244
    1222521,716
    1222536,996
    1222541,188

    FAQ

    What's the Least Common Multiple (LCM) of 12, 22 and 40?

    LCM of 12, 22 and 40 is 1,320

    How to find the LCM of 12, 22 and 40 by prime factorization?

    Take every prime that appears in 12, 22 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 × 11 = 1,320.

    Can you get the LCM of 12, 22 and 40 two numbers at a time?

    Yes. The LCM of 12 and 22 is 132, and the LCM of 132 and 40 is 1,320 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,320 divisible by 12, 22 and 40?

    Yes, and by definition it is the smallest positive integer that is: 1,320 ÷ 12, 1,320 ÷ 22 and 1,320 ÷ 40 all come out whole. Any other common multiple of 12, 22 and 40 is a multiple of 1,320.

    See Also