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    LCM for 16, 28 and 40

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

    What's the Least Common Multiple (LCM) of 16, 28 and 40?

    Answer

    LCM of 16, 28 and 40 is
    560

    First common multiples: 560; 1,120; 1,680; …

    560 is divisible by all three: 560 ÷ 16 = 35, 560 ÷ 28 = 20, 560 ÷ 40 = 14 — and 35, 20 and 14 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/16 by 35 and of y/28 by 20 and of z/40 by 14.

    16 = 24

    28 = 22 × 7

    40 = 23 × 5

    Prime162840Highest power
    224222324
    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 = 24 × 5 × 7 = 560

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--28--40Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/16--28--40">What is the LCM of 16, 28 and 40? - Calculatio</a>Copy
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    What is the LCM of 16, 28 and 40? The LCM of 16, 28 and 40 is 560 — 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/16--28--40/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1625282,800
    1626281,456
    1627283,024
    162828112
    1628293,248
    1628301,680
    1628313,472
    162832224
    1628333,696
    1628341,904
    162835560
    1628361,008
    1628374,144
    1628382,128
    1628394,368
    162840560
    1628414,592
    162842336
    1628434,816
    1628441,232
    1628455,040
    1628462,576
    1628475,264
    162848336
    162849784
    1628502,800
    1628515,712
    1628521,456
    1628535,936
    1628543,024

    FAQ

    What's the Least Common Multiple (LCM) of 16, 28 and 40?

    LCM of 16, 28 and 40 is 560

    How to find the LCM of 16, 28 and 40 by prime factorization?

    Take every prime that appears in 16, 28 and 40 to the highest power it reaches in any one of them and multiply: 2⁴ × 5 × 7 = 560.

    Can you get the LCM of 16, 28 and 40 two numbers at a time?

    Yes. The LCM of 16 and 28 is 112, and the LCM of 112 and 40 is 560 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 560 divisible by 16, 28 and 40?

    Yes, and by definition it is the smallest positive integer that is: 560 ÷ 16, 560 ÷ 28 and 560 ÷ 40 all come out whole. Any other common multiple of 16, 28 and 40 is a multiple of 560.

    See Also