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    LCM for 18, 24 and 60

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

    What's the Least Common Multiple (LCM) of 18, 24 and 60?

    Answer

    LCM of 18, 24 and 60 is
    360

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

    360 is divisible by all three: 360 ÷ 18 = 20, 360 ÷ 24 = 15, 360 ÷ 60 = 6 — and 20, 15 and 6 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/18 by 20 and of y/24 by 15 and of z/60 by 6.

    18 = 2 × 32

    24 = 23 × 3

    60 = 22 × 3 × 5

    Prime182460Highest power
    22232223
    3323332
    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/18--24--60Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--24--60">What is the LCM of 18, 24 and 60? - Calculatio</a>Copy
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    What is the LCM of 18, 24 and 60? The LCM of 18, 24 and 60 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/18--24--60/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    182445360
    1824461,656
    1824473,384
    182448144
    1824493,528
    1824501,800
    1824511,224
    182452936
    1824533,816
    182454216
    1824553,960
    182456504
    1824571,368
    1824582,088
    1824594,248
    182460360
    1824614,392
    1824622,232
    182463504
    182464576
    1824654,680
    182466792
    1824674,824
    1824681,224
    1824691,656
    1824702,520
    1824715,112
    18247272
    1824735,256
    1824742,664

    FAQ

    What's the Least Common Multiple (LCM) of 18, 24 and 60?

    LCM of 18, 24 and 60 is 360

    How to find the LCM of 18, 24 and 60 by prime factorization?

    Take every prime that appears in 18, 24 and 60 to the highest power it reaches in any one of them and multiply: 2³ × 3² × 5 = 360.

    Can you get the LCM of 18, 24 and 60 two numbers at a time?

    Yes. The LCM of 18 and 24 is 72, and the LCM of 72 and 60 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 18, 24 and 60?

    Yes, and by definition it is the smallest positive integer that is: 360 ÷ 18, 360 ÷ 24 and 360 ÷ 60 all come out whole. Any other common multiple of 18, 24 and 60 is a multiple of 360.

    See Also