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    LCM for 8, 14 and 28

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

    What's the Least Common Multiple (LCM) of 8, 14 and 28?

    Answer

    LCM of 8, 14 and 28 is
    56

    First common multiples: 56, 112, 168, …

    56 is divisible by all three: 56 ÷ 8 = 7, 56 ÷ 14 = 4, 56 ÷ 28 = 2 — and 7, 4 and 2 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/8 by 7 and of y/14 by 4 and of z/28 by 2.

    8 = 23

    14 = 2 × 7

    28 = 22 × 7

    Prime81428Highest power
    22322223
    7—777

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

    LCM = 23 × 7 = 56

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--14--28Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--14--28">What is the LCM of 8, 14 and 28? - Calculatio</a>Copy
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    What is the LCM of 8, 14 and 28? The LCM of 8, 14 and 28 is 56 — 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/8--14--28/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    81314728
    8141456
    81415840
    81416112
    81417952
    81418504
    814191,064
    81420280
    81421168
    81422616
    814231,288
    81424168
    814251,400
    81426728
    814271,512
    8142856
    814291,624
    81430840
    814311,736
    81432224
    814331,848
    81434952
    81435280
    81436504
    814372,072
    814381,064
    814392,184
    81440280
    814412,296
    81442168

    FAQ

    What's the Least Common Multiple (LCM) of 8, 14 and 28?

    LCM of 8, 14 and 28 is 56

    How to find the LCM of 8, 14 and 28 by prime factorization?

    Take every prime that appears in 8, 14 and 28 to the highest power it reaches in any one of them and multiply: 2³ × 7 = 56.

    Can you get the LCM of 8, 14 and 28 two numbers at a time?

    Yes. The LCM of 8 and 14 is 56, and the LCM of 56 and 28 is 56 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 56 divisible by 8, 14 and 28?

    Yes, and by definition it is the smallest positive integer that is: 56 ÷ 8, 56 ÷ 14 and 56 ÷ 28 all come out whole. Any other common multiple of 8, 14 and 28 is a multiple of 56.

    See Also