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    LCM for 7, 8 and 28

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

    What's the Least Common Multiple (LCM) of 7, 8 and 28?

    Answer

    LCM of 7, 8 and 28 is
    56

    First common multiples: 56, 112, 168, …

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

    7 — prime

    8 = 23

    28 = 22 × 7

    Prime7828Highest power
    2—232223
    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 × 7 = 56

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/7--8--28Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/7--8--28">What is the LCM of 7, 8 and 28? - Calculatio</a>Copy
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    What is the LCM of 7, 8 and 28? The LCM of 7, 8 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/7--8--28/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    7813728
    781456
    7815840
    7816112
    7817952
    7818504
    78191,064
    7820280
    7821168
    7822616
    78231,288
    7824168
    78251,400
    7826728
    78271,512
    782856
    78291,624
    7830840
    78311,736
    7832224
    78331,848
    7834952
    7835280
    7836504
    78372,072
    78381,064
    78392,184
    7840280
    78412,296
    7842168

    FAQ

    What's the Least Common Multiple (LCM) of 7, 8 and 28?

    LCM of 7, 8 and 28 is 56

    How to find the LCM of 7, 8 and 28 by prime factorization?

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

    Can you get the LCM of 7, 8 and 28 two numbers at a time?

    Yes. The LCM of 7 and 8 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 7, 8 and 28?

    Yes, and by definition it is the smallest positive integer that is: 56 ÷ 7, 56 ÷ 8 and 56 ÷ 28 all come out whole. Any other common multiple of 7, 8 and 28 is a multiple of 56.

    See Also