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    LCM for 24, 32 and 40

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

    What's the Least Common Multiple (LCM) of 24, 32 and 40?

    Answer

    LCM of 24, 32 and 40 is
    480

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

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

    24 = 23 × 3

    32 = 25

    40 = 23 × 5

    Prime243240Highest power
    223252325
    33——3
    5——55

    — = 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/24--32--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/24--32--40">What is the LCM of 24, 32 and 40? - Calculatio</a>Copy
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    What is the LCM of 24, 32 and 40? The LCM of 24, 32 and 40 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/24--32--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    2425322,400
    2426321,248
    242732864
    242832672
    2429322,784
    243032480
    2431322,976
    24323296
    2432331,056
    2432341,632
    2432353,360
    243236288
    2432373,552
    2432381,824
    2432391,248
    243240480
    2432413,936
    243242672
    2432434,128
    2432441,056
    2432451,440
    2432462,208
    2432474,512
    24324896
    2432494,704
    2432502,400
    2432511,632
    2432521,248
    2432535,088
    243254864

    FAQ

    What's the Least Common Multiple (LCM) of 24, 32 and 40?

    LCM of 24, 32 and 40 is 480

    How to find the LCM of 24, 32 and 40 by prime factorization?

    Take every prime that appears in 24, 32 and 40 to the highest power it reaches in any one of them and multiply: 2⁵ × 3 × 5 = 480.

    Can you get the LCM of 24, 32 and 40 two numbers at a time?

    Yes. The LCM of 24 and 32 is 96, and the LCM of 96 and 40 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 24, 32 and 40?

    Yes, and by definition it is the smallest positive integer that is: 480 ÷ 24, 480 ÷ 32 and 480 ÷ 40 all come out whole. Any other common multiple of 24, 32 and 40 is a multiple of 480.

    See Also