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    LCM for 24, 36 and 40

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

    What's the Least Common Multiple (LCM) of 24, 36 and 40?

    Answer

    LCM of 24, 36 and 40 is
    360

    First common multiples: 360; 720; 1,080; …

    360 is divisible by all three: 360 ÷ 24 = 15, 360 ÷ 36 = 10, 360 ÷ 40 = 9 — and 15, 10 and 9 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 15 and of y/36 by 10 and of z/40 by 9.

    24 = 23 × 3

    36 = 22 × 32

    40 = 23 × 5

    Prime243640Highest power
    223222323
    3332—32
    5——55

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

    LCM = 23 × 32 × 5 = 360

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/24--36--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/24--36--40">What is the LCM of 24, 36 and 40? - Calculatio</a>Copy
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    What is the LCM of 24, 36 and 40? The LCM of 24, 36 and 40 is 360 — 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--36--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    2425361,800
    242636936
    242736216
    242836504
    2429362,088
    243036360
    2431362,232
    243236288
    243336792
    2434361,224
    2435362,520
    24363672
    2436372,664
    2436381,368
    243639936
    243640360
    2436412,952
    243642504
    2436433,096
    243644792
    243645360
    2436461,656
    2436473,384
    243648144
    2436493,528
    2436501,800
    2436511,224
    243652936
    2436533,816
    243654216

    FAQ

    What's the Least Common Multiple (LCM) of 24, 36 and 40?

    LCM of 24, 36 and 40 is 360

    How to find the LCM of 24, 36 and 40 by prime factorization?

    Take every prime that appears in 24, 36 and 40 to the highest power it reaches in any one of them and multiply: 2³ × 3² × 5 = 360.

    Can you get the LCM of 24, 36 and 40 two numbers at a time?

    Yes. The LCM of 24 and 36 is 72, and the LCM of 72 and 40 is 360 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 360 divisible by 24, 36 and 40?

    Yes, and by definition it is the smallest positive integer that is: 360 ÷ 24, 360 ÷ 36 and 360 ÷ 40 all come out whole. Any other common multiple of 24, 36 and 40 is a multiple of 360.

    See Also