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    LCM for 15, 20 and 24

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

    What's the Least Common Multiple (LCM) of 15, 20 and 24?

    Answer

    LCM of 15, 20 and 24 is
    120

    First common multiples: 120, 240, 360, …

    120 is divisible by all three: 120 ÷ 15 = 8, 120 ÷ 20 = 6, 120 ÷ 24 = 5 — and 8, 6 and 5 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/15 by 8 and of y/20 by 6 and of z/24 by 5.

    15 = 3 × 5

    20 = 22 × 5

    24 = 23 × 3

    Prime152024Highest power
    2—222323
    33—33
    555—5

    — = 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/15--20--24Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/15--20--24">What is the LCM of 15, 20 and 24? - Calculatio</a>Copy
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    What is the LCM of 15, 20 and 24? The LCM of 15, 20 and 24 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/15--20--24/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    91520180
    10152060
    111520660
    12152060
    131520780
    141520420
    15152060
    151620240
    1517201,020
    151820180
    1519201,140
    15202060
    152021420
    152022660
    1520231,380
    152024120
    152025300
    152026780
    152027540
    152028420
    1520291,740
    15203060
    1520311,860
    152032480
    152033660
    1520341,020
    152035420
    152036180
    1520372,220
    1520381,140

    FAQ

    What's the Least Common Multiple (LCM) of 15, 20 and 24?

    LCM of 15, 20 and 24 is 120

    How to find the LCM of 15, 20 and 24 by prime factorization?

    Take every prime that appears in 15, 20 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 = 120.

    Can you get the LCM of 15, 20 and 24 two numbers at a time?

    Yes. The LCM of 15 and 20 is 60, and the LCM of 60 and 24 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 15, 20 and 24?

    Yes, and by definition it is the smallest positive integer that is: 120 ÷ 15, 120 ÷ 20 and 120 ÷ 24 all come out whole. Any other common multiple of 15, 20 and 24 is a multiple of 120.

    See Also