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    LCM for 16, 20 and 24

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

    What's the Least Common Multiple (LCM) of 16, 20 and 24?

    Answer

    LCM of 16, 20 and 24 is
    240

    First common multiples: 240, 480, 720, …

    240 is divisible by all three: 240 ÷ 16 = 15, 240 ÷ 20 = 12, 240 ÷ 24 = 10 — and 15, 12 and 10 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/16 by 15 and of y/20 by 12 and of z/24 by 10.

    16 = 24

    20 = 22 × 5

    24 = 23 × 3

    Prime162024Highest power
    224222324
    3——33
    5—5—5

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

    LCM = 24 × 3 × 5 = 240

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--20--24Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--20--24">What is the LCM of 16, 20 and 24? - Calculatio</a>Copy
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    What is the LCM of 16, 20 and 24? The LCM of 16, 20 and 24 is 240 — 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/16--20--24/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    91620720
    10162080
    111620880
    121620240
    1316201,040
    141620560
    151620240
    16162080
    1617201,360
    161820720
    1619201,520
    16202080
    1620211,680
    162022880
    1620231,840
    162024240
    162025400
    1620261,040
    1620272,160
    162028560
    1620292,320
    162030240
    1620312,480
    162032160
    1620332,640
    1620341,360
    162035560
    162036720
    1620372,960
    1620381,520

    FAQ

    What's the Least Common Multiple (LCM) of 16, 20 and 24?

    LCM of 16, 20 and 24 is 240

    How to find the LCM of 16, 20 and 24 by prime factorization?

    Take every prime that appears in 16, 20 and 24 to the highest power it reaches in any one of them and multiply: 2⁴ × 3 × 5 = 240.

    Can you get the LCM of 16, 20 and 24 two numbers at a time?

    Yes. The LCM of 16 and 20 is 80, and the LCM of 80 and 24 is 240 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 240 divisible by 16, 20 and 24?

    Yes, and by definition it is the smallest positive integer that is: 240 ÷ 16, 240 ÷ 20 and 240 ÷ 24 all come out whole. Any other common multiple of 16, 20 and 24 is a multiple of 240.

    See Also