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    LCM for 14, 24 and 28

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

    What's the Least Common Multiple (LCM) of 14, 24 and 28?

    Answer

    LCM of 14, 24 and 28 is
    168

    First common multiples: 168, 336, 504, …

    168 is divisible by all three: 168 ÷ 14 = 12, 168 ÷ 24 = 7, 168 ÷ 28 = 6 — and 12, 7 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/14 by 12 and of y/24 by 7 and of z/28 by 6.

    14 = 2 × 7

    24 = 23 × 3

    28 = 22 × 7

    Prime142428Highest power
    22232223
    3—3—3
    77—77

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

    LCM = 23 × 3 × 7 = 168

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/14--24--28Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/14--24--28">What is the LCM of 14, 24 and 28? - Calculatio</a>Copy
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    What is the LCM of 14, 24 and 28? The LCM of 14, 24 and 28 is 168 — 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/14--24--28/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1314242,184
    141424168
    141524840
    141624336
    1417242,856
    141824504
    1419243,192
    142024840
    142124168
    1422241,848
    1423243,864
    142424168
    1424254,200
    1424262,184
    1424271,512
    142428168
    1424294,872
    142430840
    1424315,208
    142432672
    1424331,848
    1424342,856
    142435840
    142436504
    1424376,216
    1424383,192
    1424392,184
    142440840
    1424416,888
    142442168

    FAQ

    What's the Least Common Multiple (LCM) of 14, 24 and 28?

    LCM of 14, 24 and 28 is 168

    How to find the LCM of 14, 24 and 28 by prime factorization?

    Take every prime that appears in 14, 24 and 28 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 7 = 168.

    Can you get the LCM of 14, 24 and 28 two numbers at a time?

    Yes. The LCM of 14 and 24 is 168, and the LCM of 168 and 28 is 168 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 168 divisible by 14, 24 and 28?

    Yes, and by definition it is the smallest positive integer that is: 168 ÷ 14, 168 ÷ 24 and 168 ÷ 28 all come out whole. Any other common multiple of 14, 24 and 28 is a multiple of 168.

    See Also