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    LCM for 14, 28 and 42

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

    What's the Least Common Multiple (LCM) of 14, 28 and 42?

    Answer

    LCM of 14, 28 and 42 is
    84

    First common multiples: 84, 168, 252, …

    84 is divisible by all three: 84 ÷ 14 = 6, 84 ÷ 28 = 3, 84 ÷ 42 = 2 — and 6, 3 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/14 by 6 and of y/28 by 3 and of z/42 by 2.

    14 = 2 × 7

    28 = 22 × 7

    42 = 2 × 3 × 7

    Prime142842Highest power
    2222222
    3——33
    77777

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

    LCM = 22 × 3 × 7 = 84

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/14--28--42Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/14--28--42">What is the LCM of 14, 28 and 42? - Calculatio</a>Copy
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    What is the LCM of 14, 28 and 42? The LCM of 14, 28 and 42 is 84 — 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--28--42/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    142728756
    14282828
    142829812
    142830420
    142831868
    142832224
    142833924
    142834476
    142835140
    142836252
    1428371,036
    142838532
    1428391,092
    142840280
    1428411,148
    14284284
    1428431,204
    142844308
    1428451,260
    142846644
    1428471,316
    142848336
    142849196
    142850700
    1428511,428
    142852364
    1428531,484
    142854756
    1428551,540
    14285656

    FAQ

    What's the Least Common Multiple (LCM) of 14, 28 and 42?

    LCM of 14, 28 and 42 is 84

    How to find the LCM of 14, 28 and 42 by prime factorization?

    Take every prime that appears in 14, 28 and 42 to the highest power it reaches in any one of them and multiply: 2² × 3 × 7 = 84.

    Can you get the LCM of 14, 28 and 42 two numbers at a time?

    Yes. The LCM of 14 and 28 is 28, and the LCM of 28 and 42 is 84 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 84 divisible by 14, 28 and 42?

    Yes, and by definition it is the smallest positive integer that is: 84 ÷ 14, 84 ÷ 28 and 84 ÷ 42 all come out whole. Any other common multiple of 14, 28 and 42 is a multiple of 84.

    See Also