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    LCM for 8, 28 and 30

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

    What's the Least Common Multiple (LCM) of 8, 28 and 30?

    Answer

    LCM of 8, 28 and 30 is
    840

    First common multiples: 840; 1,680; 2,520; …

    840 is divisible by all three: 840 ÷ 8 = 105, 840 ÷ 28 = 30, 840 ÷ 30 = 28 — and 105, 30 and 28 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 105 and of y/28 by 30 and of z/30 by 28.

    8 = 23

    28 = 22 × 7

    30 = 2 × 3 × 5

    Prime82830Highest power
    22322223
    3——33
    5——55
    7—7—7

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

    LCM = 23 × 3 × 5 × 7 = 840

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--28--30Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--28--30">What is the LCM of 8, 28 and 30? - Calculatio</a>Copy
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    What is the LCM of 8, 28 and 30? The LCM of 8, 28 and 30 is 840 — 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--28--30/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    81528840
    81628112
    81728952
    81828504
    819281,064
    82028280
    82128168
    82228616
    823281,288
    82428168
    825281,400
    82628728
    827281,512
    8282856
    828291,624
    82830840
    828311,736
    82832224
    828331,848
    82834952
    82835280
    82836504
    828372,072
    828381,064
    828392,184
    82840280
    828412,296
    82842168
    828432,408
    82844616

    FAQ

    What's the Least Common Multiple (LCM) of 8, 28 and 30?

    LCM of 8, 28 and 30 is 840

    How to find the LCM of 8, 28 and 30 by prime factorization?

    Take every prime that appears in 8, 28 and 30 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 × 7 = 840.

    Can you get the LCM of 8, 28 and 30 two numbers at a time?

    Yes. The LCM of 8 and 28 is 56, and the LCM of 56 and 30 is 840 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 840 divisible by 8, 28 and 30?

    Yes, and by definition it is the smallest positive integer that is: 840 ÷ 8, 840 ÷ 28 and 840 ÷ 30 all come out whole. Any other common multiple of 8, 28 and 30 is a multiple of 840.

    See Also